If you would like to see another video I did regarding permutations see: How to Use Permutations and Combinations ruclips.net/video/NEGxh_D7yKU/видео.html
Hi mario... On CAT we have 3ways using combinations.. I wonder what formula i can use to get how many times letter C, A or T occur in that 3ways, i know each letter occurs twice, just want to know if u have formula for bigger combinations purposes like 12 by 8 combinations which will lead to 495 ways, but how will i know in that 495ways there is letter A. Using A-L 12 letter and group of 8 combination?. Thanks in advance.
In the card game Blackjack, there are one or more players and a dealer. Initially, each player is dealt two cards and the dealer is dealt one card down and one facing up. As in bridge, the order of the hands, but not the order of the cards in the hands, matters. Starting with a single 52 card deck, and three players, how many ways can the first two cards be dealt out? You can use the sage cell in the SageMath Note to do this calculation.
Mario, I spent the majority of my Sunday watching videos on this and I have to say the biggest difference your video made, was really emphasizing the elimination of the multiplicities. That's a really important part of understanding even lightly understanding how this formula works. The ABC in your other video also really helped to visualize what was really going on. Great work and thank you!
Qtn: a committee of 8 family members at a party consists of a married couple, 4 other men, and 2 other women, sitting around a table. What's the probability of the man sitting next to his wife? (ii) probability of the man sitting opposite his wife? (iii) 3 women sitting next to each other? Please help
Thank you so much.. But can i get computer programme or app. to give me all the words from 10 letters or more... As like this word( so lucky man).. I need all the words from these letters.
I am studying for my content exam to become certified as a math teacher. I was using a study resource but could not understand this by reading it. I came across your videos and now I am searching for all your videos that would help me. This is so helpful! When I am trying to choose between perm or combo, I ask myself "does the order matter?" just like you do in your video. Thank you
The first time when i watch your channel was in grade 10, now i am going to my second year of uni, you vid are still helping me. you are the best math tutor on youtube. THanks :)
I just discovered your channel. I was searching for videos about permutations and combinations that can help me in the GRE test, really the explanations and the problems are solved in a clear way.
Mario, I have this problem and I cannot figure out how they got the probability. Can you help? Maryvale High School is starting a freshman mentoring program. There are eight seniors, twelve juniors, and four sophomores signed up to mentor. Ten mentors will be chosen for the school year. Round answers to three decimal places. What are the total number of ways to choose ten mentors from the group of seniors, juniors, and sophomores? Answer: 1,961,256 What is the probability that the mentors will be five seniors, three juniors, and two sophomores?
Great video on the fundamentals of combinatorics. I did have a bit of a grey area in my understanding on the very last deck question, for, say, a) all are diamonds, why do we not account for choosing 13 diamonds out of 52 cards and then 5 diamonds out of those 13 in our dealt hand.
Really well explained, especially the word problems, I love how you go through them with a line of reasoning. This made it so easy to understand, as opposed to the mindless mathematical jargon I see frequently in textbooks. Thanks!
Thank you! I'm doing the GRE 10 years post- any high school math class - and this has been the best explanation of permutations and combinations [as well as probability!] etc.for me
You deserve my tuition. Feels like we’re using the same textbook as well because these are oddly similar to what I’ve been working through. Thank you Mario 🤝🏻
Thank you so much. I'm a German student and I just discovered that studying math in Englisch works way better for me. You're doing great and meaningful work. Keep it up!
Sir, can you help me with this problem? I would really appreciate it if you see my comments and help me with this,, A Whoppa pizza base is made using one of 2 types of cheese and one of 2 toppings. Up to 3 additional toppings are available at extra cost. The number of different Whoppa pizzas that can be made containing at least one additional topping is: A) 12 B) 16 C) 24 D) 28 E) 20 Thank you in advance🙏🏾
THANK YOU SO MUCH FOR THIS VIDEO! I have a maths exam next week and I've been through so many videos and none explained it as well and as clearly as you have. I'm glad I found your channel. I will be binge watching a lot of your videos for the next 2 years of school
If I forget the last two digits of a phone number, how many maximum tries I may have to make before I dial the correct number? Please explain this. The correct answer is 99.
hi, awesome video as always prof Mario! really helped put me on the map with this whole topic. i just don't get why at 17:35 i can't do all the combinations so 52c5 minus the combinations where we get all 5 clubs, 4 clubs, 3 clubs, and finally 2 clubs, leaving in 1 clubs and 0 clubs. so 52c5 - (13c5 + 13c4 + 13c3 + 13c2)? i sort of got that idea from the at least one method, subtracting unfavorable ways from total. CAN SOMEBODY PLZ HELP!? EDIT: I think I've figured it out! so basically what you need to do if you're running into that same issue, is remember or know to take into account the possibility in full. for example, when we wanna subtract from the total the possibility of getting 5 clubs because we can have only 1 tops, we must know that the unspoken part here is that we are taking 5 clubs AND (*) 0 cards from the other 39 cards, which 39c0, this is insignificant because it is basically multiplying by 1. but when we move on to the next one, we're again, subtracting from the total the possibility of getting 4 clubs AND 1 from any of the others. so 52c5 - (13c5 * 39c0) - (13c4 * 39c1) ... repeating this for the remaining possibilities will get us the correct answer.
Would you please show how to solve this? A distribution company provides households to departmental stores within a 50 kilometers radius. The table below shows how far each departmental store is from the godown of the distribution company. Distance from the godown of the distribution company Number of Stores 10 kilometers or less 03 11 to 20 kilometers 15 21 to 30 kilometers 26 31 to 40 kilometers 20 41 to 50 kilometers 16 (i) How many stores does the distribution company serve? (ii) What is the most common distance of stores from the company's godown? (iii) How many stores are 35 Km or more from the godown? (iv) What percentage of stores are 31 Km or more from the godown?
For a word with repetitive character like 'ABCDEA', what's the formula to pick 3 letters. I tried with what's taught here. 6!/(6-3)!2! = 60, but the actual answer comes to 72 when I workout in a notebook by writing the different combinations
"A password consists of 6 letters of the alphabet, with repetition permitted. How many different passwords are possible?" I understood everything in the video, and it was so well done and helpful, but I still don't know how to do this question. It's in a textbook, and the answer in the back of the textbook is 308,915,776, but I keep getting 46,656.
for the last question in the video, is this answer also correct: (4C1x51C4)/52C5. As here you are chosing 1 ace out of 4 aces, then you are adding the 3 remaining aces into the pile again and chosing 4 random cards out of 51 of the cards that are left.
I have came across this problem for which I do not seem to understand how the result is achieved and there is no explanation provided. Can someone please explain to me if they understand the answer! I would be really grateful :) This is the problem: 'From a group of 8 volunteers, including Andrea and Karen, 4 people are to be selected at random to organize a charity event. What is the probability that Andrew will be among the 4 volunteers selected and Karen will not?' Answer: 2/7 Thanks!
Hi Mario, I am wondering if you can make coin flip probability with permutations and combinations. I am sorry i wrote this to late, but it would be great if you could a video on that. Thanks, Facts Infotech.
Thank you very much for your thorough explanation, very simple and easy to follow and understand I am confused about the solution of the last question: what is the probability of getting at least 1 ace? Aren't there 4 aces in a deck? In that case, how would we choose 5 out of 4 aces?
Try to solve this fro us 1.a) Two pair of dice tossed. Find the probability that the total score shown up is less than or equal to ‘10’. b) Generate three set of data of not more than five ‘5’ variables each, compare ‘F’ test for the data you generated. c) Generate ‘n’ and ‘r’ of your choice to calculate the permutation formula. nPr =r!/(n-r)! 2. a) A multiple choice examination contain six question each with three options. What is the probability of student guessing the correct answer to at least four of the question. b) Generate two set of data of not more than five ‘5’ variables each, compare ‘T’ test for the data you generated. c) Generate ‘n’ and ‘r’ of your choice to calculate the combination formula. nCr =r!/(n-r)!
to be real honest, i really understood what you were teaching even though you were speaking pretty fast. I'm Nigerian so hearing u so clear was a lil bit of difficult. subtitles wouldnt work lol..... thanks btw i really understood
I find the fundamental counting rules to be... fundamental. All formulas are there to serve the rules. When you understand them, the formulas will be very easily figured out from those rules. For example, the (n-r)! denominator is there simply to cancel all the unnecessary terms.
There are 9 different flags with different colors. There are 1 red, 2 yellow, 4 green, and 2 blue. How many different ways can you arrange 5 of the 9 flags if the color matters. Answer cannot have decimal.
Question please A national pollster has developed 15 questions designed to rate the performance of the president of the United States. The pollster will select 10 of these questions. How many different arrangements are there for the order of the 10 selected questions?
You talked about at least one in the last question. What about “exactly one”? Your approach is way easier to understand than the way we do it in class, so I am hoping to learn and apply this instead. Thank you!
Here's a real life problem my friend and i bumped into the other day. Can you help? What is the probability of choosing two adjacent chairs in a bus where there are 8 rows and 3 columns?
In my own opinion, it is the possible combinations of 2adjacent chairs in a 3-chair row which is 2 multiplied by 8 making 16, divided by 24c2. Final answer 0.05797...
Or first find the total no.of all possible ways to arrange the chair: 8c2.3c2=84 .so there are 84 possible ways to arrange 2 chairs in 8 rows and 2 columns. Now: 2/84=0.023
100% since: 1) bus seats are immovable so you have 8 chair pairs in the entire bus And 2) You and your friend will sit together so you can't both sit in the single seater side. Your only option is to sit in the 2 seater side, so probability is 1.
is there a general formula for the "at least" types of questions? like for example, at least 2 or 3 or 4 instead of at least 1. How would we calculate the probability of getting at least 2 aces or 3 aces?
Could you please explain how to find the total number of license plates that can be produced from a 32 letter alphabet with 9 vowels when the first letter must be a vowel ? Thank you
I am so satifisfed with your video but I have one question do i have cancel out the 52 C 5 for the probability og getting at least one ace and then continue to solve it
I know this video is old, but this has helped me so much! I have to take the SCAT soon, and these concepts are always something I struggled with. Your simple approach saved me hours, and I understand the concepts!! Thank you!!
It's a great video, really! I have a question. In the minute 13:34 you explained that the combinations must be multiplied, because of the fundamental counting principle, but Why is it possibleto multiply and obtain a combination? Doesn't it make repetitions?
I spent my whole Saturday trying to conceptualize all these three topics combined and everything failed until this video. I truly appreciate the simplicity of your explanations and connecting the concepts together!
I'm middle-aged and never studied this topic before. However, after watching your videos I now feel confident about including probability calculations in the new word game I have devised.
![Combinations Vs. Permutations in Probability & Statistics? - [2]](http://i.ytimg.com/vi/K7AP23AyMCk/mqdefault.jpg)
If you would like to see another video I did regarding permutations see: How to Use Permutations and Combinations ruclips.net/video/NEGxh_D7yKU/видео.html
Hi mario... On CAT we have 3ways using combinations.. I wonder what formula i can use to get how many times letter C, A or T occur in that 3ways, i know each letter occurs twice, just want to know if u have formula for bigger combinations purposes like 12 by 8 combinations which will lead to 495 ways, but how will i know in that 495ways there is letter A. Using A-L 12 letter and group of 8 combination?. Thanks in advance.
How permutation and combination are related in magic square of 1 to 9 added upto 15 in all directions
What are total number of ways for writing the combination and permutation of magic square ??
If I have a 14x12 board (168 spaces) with numbers from 1-6 (28 of each digit) and I roll 8 dice, what is the probability of rolling all ones?
In the card game Blackjack, there are one or more players and a dealer.
Initially, each player is dealt two cards and the dealer is dealt one card
down and one facing up. As in bridge, the order of the hands, but not
the order of the cards in the hands, matters. Starting with a single 52
card deck, and three players, how many ways can the first two cards be
dealt out? You can use the sage cell in the SageMath Note to do this
calculation.
Mario, I spent the majority of my Sunday watching videos on this and I have to say the biggest difference your video made, was really emphasizing the elimination of the multiplicities. That's a really important part of understanding even lightly understanding how this formula works. The ABC in your other video also really helped to visualize what was really going on. Great work and thank you!
You’re welcome Joshua! Glad my videos helped you! Thanks for commenting and letting me know!
THANKS A LOT !!! OMG I APPRECIATE IT A LOT. YOU"RE LITERALLY A LIFE SAVER, SIR. MY DEEPEST RESPECT FOR YOU.
I KNOW RIGHT!!!
@@malihafarzana ahahah
Thank you very much!
He explained it much better than my mumbling prof for whom I paid money...
Glad you liked my explanations in the video!
so great
In Q4 e) ...what is the probability of getting at least 1 ace?
Can this method apply:
4C4 . 48C1 / 52C5 ?
Qtn: a committee of 8 family members at a party consists of a married couple, 4 other men, and 2 other women, sitting around a table. What's the probability of the man sitting next to his wife?
(ii) probability of the man sitting opposite his wife?
(iii) 3 women sitting next to each other?
Please help
Thank you so much.. But can i get computer programme or app. to give me all the words from 10 letters or more... As like this word( so lucky man).. I need all the words from these letters.
Wow. You explained it so well! Thank you so much. Everything is now clearer.
Your welcome William! Glad my video helped you!
I am studying for my content exam to become certified as a math teacher. I was using a study resource but could not understand this by reading it. I came across your videos and now I am searching for all your videos that would help me. This is so helpful! When I am trying to choose between perm or combo, I ask myself "does the order matter?" just like you do in your video. Thank you
The first time when i watch your channel was in grade 10, now i am going to my second year of uni, you vid are still helping me. you are the best math tutor on youtube. THanks :)
Glad my videos have been helping you over the years! Thanks for letting me know and wishing you continued success with your studies!
Me: Looks at discord for a second
Him: A bunch of formulas on the whiteboard
I just discovered your channel. I was searching for videos about permutations and combinations that can help me in the GRE test, really the explanations and the problems are solved in a clear way.
It's very nice of you to put all these situations together for comparison! Very helpful, thanks!
You’re welcome Ye Lu! Glad my video compilation was helpful for you!
Mario, I have this problem and I cannot figure out how they got the probability. Can you help?
Maryvale High School is starting a freshman mentoring program. There are eight seniors, twelve juniors, and four sophomores signed up to mentor. Ten mentors will be chosen for the school year.
Round answers to three decimal places.
What are the total number of ways to choose ten mentors from the group of seniors, juniors, and sophomores?
Answer: 1,961,256
What is the probability that the mentors will be five seniors, three juniors, and two sophomores?
Sir, Love from bangladesh. Your teaching is excellent and I have seen your many tutorial .
Great! Glad you are benefitting from my videos and channel!
Great video on the fundamentals of combinatorics. I did have a bit of a grey area in my understanding on the very last deck question, for, say, a) all are diamonds, why do we not account for choosing 13 diamonds out of 52 cards and then 5 diamonds out of those 13 in our dealt hand.
Let's get it son, you're the best, this really helped me. Thank you, if it wasn't for you, I would have failed in my course. Big up bro
Glad my permutation Video helped you Fernando!
Really well explained, especially the word problems, I love how you go through them with a line of reasoning. This made it so easy to understand, as opposed to the mindless mathematical jargon I see frequently in textbooks. Thanks!
Thank you! I'm doing the GRE 10 years post- any high school math class - and this has been the best explanation of permutations and combinations [as well as probability!] etc.for me
Awesome! Glad my video helped you Yuki!
I didn't learn these tropics when I was in school but now I cannot solve most of the competitive programming questions without these topics.
Im here watching 30 min before the exam and you put that all into my head good job. Thankss
Who’s here during social distancing
You deserve my tuition. Feels like we’re using the same textbook as well because these are oddly similar to what I’ve been working through. Thank you Mario 🤝🏻
You’re welcome !
Thank you so much. I'm a German student and I just discovered that studying math in Englisch works way better for me. You're doing great and meaningful work. Keep it up!
Thanks Cem! Glad my video was helpful for you!
Very realistic video.
Just like how I come late for class, the lesson started before the video started.
I looked so hard for a vid that actually explains good bruh when I tell u I almost threw my Dino plushies outta the window when I found this plssssss
omg hey tsukishima AHAHHA
Sir, can you help me with this problem? I would really appreciate it if you see my comments and help me with this,,
A Whoppa pizza base is made using one of 2 types of cheese and one of 2 toppings. Up to 3 additional toppings are available at extra cost. The number of different Whoppa pizzas that can be made containing at least one additional topping is:
A) 12 B) 16 C) 24 D) 28 E) 20
Thank you in advance🙏🏾
thank you mario!
Thank you, this was really comprehensive and well-explained.
You’re welcome! Glad you liked the video!
THANK YOU SO MUCH FOR THIS VIDEO! I have a maths exam next week and I've been through so many videos and none explained it as well and as clearly as you have. I'm glad I found your channel. I will be binge watching a lot of your videos for the next 2 years of school
If I forget the last two digits of a phone number, how many maximum tries I may have to make before I dial the correct number?
Please explain this. The correct answer is 99.
I think that it would be 9 P 2
idk tho
this is everything you need to know for the math level 2 exam
honestly bro
Combinations - unique outcomes.
-> Divide out the repeats
Permutations - outcomes where order matters.
-> Can have ‘at’ and ‘ta’.
hi, awesome video as always prof Mario! really helped put me on the map with this whole topic. i just don't get why at 17:35 i can't do all the combinations so 52c5 minus the combinations where we get all 5 clubs, 4 clubs, 3 clubs, and finally 2 clubs, leaving in 1 clubs and 0 clubs. so 52c5 - (13c5 + 13c4 + 13c3 + 13c2)? i sort of got that idea from the at least one method, subtracting unfavorable ways from total. CAN SOMEBODY PLZ HELP!?
EDIT: I think I've figured it out! so basically what you need to do if you're running into that same issue, is remember or know to take into account the possibility in full. for example, when we wanna subtract from the total the possibility of getting 5 clubs because we can have only 1 tops, we must know that the unspoken part here is that we are taking 5 clubs AND (*) 0 cards from the other 39 cards, which 39c0, this is insignificant because it is basically multiplying by 1. but when we move on to the next one, we're again, subtracting from the total the possibility of getting 4 clubs AND 1 from any of the others. so 52c5 - (13c5 * 39c0) - (13c4 * 39c1) ... repeating this for the remaining possibilities will get us the correct answer.
Indian use probability for finding the next birth in which form of life and lifestyle
😃👽😃😀😃👽👽😃😀😀👽👽👽😀😀
Thanks for preparing me for a math quiz during quarantine! This really helped clear things up a lot.
You’re welcome! Glad my video helped you prepare for your quiz! Report back if you want and let us all know how you did.
damn ur good at teaching
Would you please show how to solve this?
A distribution company provides households to departmental stores within a 50 kilometers radius. The table below shows how far each departmental store is from the godown of the distribution company.
Distance from the godown of the
distribution company Number of
Stores
10 kilometers or less 03
11 to 20 kilometers 15
21 to 30 kilometers 26
31 to 40 kilometers 20
41 to 50 kilometers 16
(i) How many stores does the distribution company serve?
(ii) What is the most common distance of stores from the company's godown?
(iii) How many stores are 35 Km or more from the godown?
(iv) What percentage of stores are 31 Km or more from the godown?
For a word with repetitive character like 'ABCDEA', what's the formula to pick 3 letters. I tried with what's taught here. 6!/(6-3)!2! = 60, but the actual answer comes to 72 when I workout in a notebook by writing the different combinations
"A password consists of 6 letters of the alphabet, with repetition permitted. How many different passwords are possible?" I understood everything in the video, and it was so well done and helpful, but I still don't know how to do this question. It's in a textbook, and the answer in the back of the textbook is 308,915,776, but I keep getting 46,656.
for the last question in the video, is this answer also correct: (4C1x51C4)/52C5. As here you are chosing 1 ace out of 4 aces, then you are adding the 3 remaining aces into the pile again and chosing 4 random cards out of 51 of the cards that are left.
This video really helped!! this is a subject i could never understand but now i do thanks to you breaking it down in slow and simple terms :)
Glad my video helped you Avanish!
I have came across this problem for which I do not seem to understand how the result is achieved and there is no explanation provided. Can someone please explain to me if they understand the answer! I would be really grateful :)
This is the problem:
'From a group of 8 volunteers, including Andrea and Karen, 4 people are to be selected at random to organize a charity event. What is the probability that Andrew will be among the 4 volunteers selected and Karen will not?'
Answer: 2/7
Thanks!
Hi Mario,
I am wondering if you can make coin flip
probability with permutations and combinations.
I am sorry i wrote this to late, but it would be great if you could a
video on that.
Thanks, Facts Infotech.
Thank you very much for your thorough explanation, very simple and easy to follow and understand
I am confused about the solution of the last question: what is the probability of getting at least 1 ace?
Aren't there 4 aces in a deck? In that case, how would we choose 5 out of 4 aces?
Try to solve this fro us
1.a) Two pair of dice tossed. Find the probability that the total score shown up is less than or equal to ‘10’.
b) Generate three set of data of not more than five ‘5’ variables each, compare ‘F’ test for the data you generated.
c) Generate ‘n’ and ‘r’ of your choice to calculate the permutation formula. nPr =r!/(n-r)!
2. a) A multiple choice examination contain six question each with
three options. What is the probability of student guessing the
correct answer to at least four of the question.
b) Generate two set of data of not more than five ‘5’ variables
each, compare ‘T’ test for the data you generated.
c) Generate ‘n’ and ‘r’ of your choice to calculate the combination
formula. nCr =r!/(n-r)!
u r amazing, plz come to india not only u will be rolling in wealth but indians will LOVE U AND THE SUBTLE WAY U CAN TEACH
Such a complete, easy to understand, and mix of possible ways of working with this concept. Thank you. # Mahsaamini
to be real honest, i really understood what you were teaching even though you were speaking pretty fast. I'm Nigerian so hearing u so clear was a lil bit of difficult.
subtitles wouldnt work lol.....
thanks btw i really understood
I find the fundamental counting rules to be... fundamental. All formulas are there to serve the rules. When you understand them, the formulas will be very easily figured out from those rules. For example, the (n-r)! denominator is there simply to cancel all the unnecessary terms.
There are 9 different flags with different colors. There are 1 red, 2 yellow, 4 green, and 2 blue. How many different ways can you arrange 5 of the 9 flags if the color matters.
Answer cannot have decimal.
Hi i have a a few questions ro ask please axlly, they are examples of word problems from my class that i need help with concerning Probability.
Question please
A national pollster has developed 15 questions designed to rate the performance of the president of the United States. The pollster will select 10 of these questions. How many different arrangements are there for the order of the 10 selected questions?
You talked about at least one in the last question. What about “exactly one”?
Your approach is way easier to understand than the way we do it in class, so I am hoping to learn and apply this instead. Thank you!
Here's a real life problem my friend and i bumped into the other day. Can you help?
What is the probability of choosing two adjacent chairs in a bus where there are 8 rows and 3 columns?
In my own opinion, it is the possible combinations of 2adjacent chairs in a 3-chair row which is 2 multiplied by 8 making 16, divided by 24c2.
Final answer 0.05797...
Or first find the total no.of all possible ways to arrange the chair: 8c2.3c2=84 .so there are 84 possible ways to arrange 2 chairs in 8 rows and 2 columns. Now: 2/84=0.023
100% since:
1) bus seats are immovable so you have 8 chair pairs in the entire bus
And 2) You and your friend will sit together so you can't both sit in the single seater side.
Your only option is to sit in the 2 seater side, so probability is 1.
is there a general formula for the "at least" types of questions? like for example, at least 2 or 3 or 4 instead of at least 1. How would we calculate the probability of getting at least 2 aces or 3 aces?
thank you so much sir..I found yor channel.helps me a lot sir.God bless.(from Phillipines)
Wow! An excellent explaination.... Thanks 👍.....Sir keep it up. .
Could you please explain how to find the total number of license plates that can be produced from a 32 letter alphabet with 9 vowels when the first letter must be a vowel ?
Thank you
I don't understand how you did the 13:46 it confused me. If you can break this down please?
Ty :)
Outstanding tutorial! But how can you have 5 aces? I thought there were only 4 in a deck of cards.
why did you choose five cards when you have 4 aces shouldn't it be 52C4 -- 48C5
I am so satifisfed with your video but I have one question do i have cancel out the 52 C 5 for the probability og getting at least one ace and then continue to solve it
for part a) would you not change the question to " how many ways are there .......hand out of a standard diamond suit ?"
What’s the probability if spinning 1 of 3 C’s Out of 8 Letters?
I know this video is old, but this has helped me so much! I have to take the SCAT soon, and these concepts are always something I struggled with. Your simple approach saved me hours, and I understand the concepts!! Thank you!!
You’re welcome Liam! Glad my video helped you! Good luck on your test!
can someone explain the question where 16:35 cuz I am not familiar with the how card is being selected
On 15 minutes the explanation stopped be clear with third example😊
What about dealing with odd and even numbers by replacing and no replacement
What a wonderful way to explain permutations and combinations! Thank you so very much!!!
You’re welcome Robert! Glad you liked the video!
It's a great video, really!
I have a question. In the minute 13:34 you explained that the combinations must be multiplied, because of the fundamental counting principle, but Why is it possibleto multiply and obtain a combination? Doesn't it make repetitions?
no because once you do combination all the repeated items are left out so multiplying doesn't give repetition
on the last example i think theres a mistake, you can't draw 5 aces from a 52 card deck
Thank you so much you explained it so clear 👍👍👍
please make video on bayes theorem and joint probability distribution
In how many ways can 3 girls and 6 boys be made to sit on a
bench in such a way that
c) the boys sit in pairs
Does not work for trying to find permutations in geometric patterns that do not mirror themselves in a round matrix.
Can you show me how to calculate the probability of a straight flush?
im taking an online math class this summer and they did not explain factorials very well, but you made it completely clear. thanks for the help!
You’re welcome Audrey Kim! Glad my video helped you and good luck with your summer class!
Thanks Mario. Very helpful video.
is it possible for you to put all ads only in the begining of the video? that would help a lot to learn from you
I spent my whole Saturday trying to conceptualize all these three topics combined and everything failed until this video. I truly appreciate the simplicity of your explanations and connecting the concepts together!
This was wonderful. Thank you!
It so easy to understand But how do I solve this type of question
nP2=72
I'm middle-aged and never studied this topic before. However, after watching your videos I now feel confident about including probability calculations in the new word game I have devised.
Wonderful!
I would rather watch your youtube videos and learn at home because my teacher doesn't know how to teach. lol
I’m glad my videos are helping you Adarsh!
I don't like permutation and combination problems :(
This helped me a lot, Thank you so much my good sir! Subscribed for more math lessons :D
Sonny, glad my video helped you! Welcome to the channel!
Thank you for the helpful tutorial 💝💝💝👍👍👍👍
Thank you so much am now at a better position to attempt any permutation and combination question
Very helpful, I understood most of it already but it makes for great revision before my exam!
Thanks a lot!
You’re welcome Olivier! Glad it helped you review for your exam!
@@MariosMathTutoring I got an A! Will definitely recommend your channel!
Congrats on your A! Great job!
Finally! Where you been all my life? I'm no expert just yet, but I'm on my way thanks to you.
Glad you liked my video Francisco! Glad my videos are helping you!
THANK YOU SO MUCH ALL YOUR VIDEOS ARE EXTREMELY HELPFUL
i am from india , i like your teaching methods....
Hi Mario. Thanks for helping. Am currently doing Actuarial science and we are doing probability. Thanks for helping
Happy to help!
Thanks i appreciate these videos very much ....
im on the brink of giving up lmao but i watched this so i better get tf up
Your classes are so helpful for me and you are literal talented.
I’m so glad my video lessons are helping you Yixin!