I did 4 years of Bachelor of Science in Computer Science and I had a LOT of these math classes. This was the clearest, easiest to understand, and most well-taught class I have ever seen. Good job. This is master level.
I am a ninth grader. My school is teaching 11th-grade syllabi for JEE preparation, but I never really understand them. After my dad's suggestion, I started watching your videos and now I understand the theory of what is being taught in my school with a deep insight. Thank you so much for such a quality teaching. I don't know what was I going to do without any of your videos.
Greetings from Ukraine! Eddie, you are awesome teacher. I love math only because of YOU (such as I really hated it before discovering your chanel). Thank you a lot!!!!!!
That is not a permutation, but variation! In a permutation you have to use all the elements of the sample space! Which is why it is very useful to model symmetries with permutations. N!/(R1!*R2!*...*Rn!) is the permutation with repetition and N! is the permutation without variation! What you are talking about under permutation is actually variation!
If you want no repeats, isn't it 10 x 9 x 9 x 9? For the third digit, I just don't want to repeat the second. But I could pick the first and it wouldn't count as a "repeat".
A thing that always help me is imagination... So, try to think like this (at least it worked for me): 10! = 10x9x8x7x6x5x4x3x2x1 6! = 6x5x4x3x2x1 So, if you write that as a fraction: 10x9x8x7x *6x5x4x3x2x1* ----------------------------------------- *6x5x4x3x2x1* When you look closely, you realize that the *bold* part repeats, and since it's all multiplications, you can cut them off... 10x9x8x7 *cut* ------------------------------------------ *cut* So, you end up with: 10x9x8x7 Exactly what Woo wrote in the board... Simple like that! Haha
Imagine if there are 5 ways to go to a place C from a place B(B-C = 5ways) and also I have 7 ways to go to place B from A (A-B= 7ways). Now in how many ways we can go from A to C ?........well the best approach is that if I go in just 1 way from A-B then I will have 5 ways to go to C hence there are 7ways to go from A-B, then I will have (in total) 5+5+5+5+5+5+5 ways which is 35 and that is why we do 5×7=35. Hope it helps!!!
Great teaching sir But I think the answer for permutations for 4 digit pin is 9 * 10*10*10 Because the first slot or the thousandth place has only 9 choices with zero excluded because if it starts with zero it will not be a 4 digit number Thank you for the teaching Helped a lot I had lost my intuitive understanding of some topics hadn't revised those parts for a long time From india
I love how you give an example of the permutation formula before giving them the formula, so they build the intuition. Amazing teaching method.
🎉😂
I love how this guy just teaches students with that emotion and good energy! Really Happy :)
I did 4 years of Bachelor of Science in Computer Science and I had a LOT of these math classes. This was the clearest, easiest to understand, and most well-taught class I have ever seen. Good job. This is master level.
I am from India and I thank u to give me conceptual idea about permutation..
Love from India
🤗🤗
I am from Germany and I am kinda triggered by SS as an abbreviation
@@bymagix8923 what does ss mean?
from my knowledge it is a paramilitary force under Adolf hitter's control
@@ngl2935 Started paramilitant, gone official. Not good.
I am a ninth grader. My school is teaching 11th-grade syllabi for JEE preparation, but I never really understand them. After my dad's suggestion, I started watching your videos and now I understand the theory of what is being taught in my school with a deep insight. Thank you so much for such a quality teaching. I don't know what was I going to do without any of your videos.
your way to approaching things is more understandable for hsc students thank you tons sir
@ooooooooooooooooooooooooooooooooooooooooooooooooo the book name is "Cambridge Mathematics 3rd Unit 2nd edition enhanced"
😁🙂
Why is this guy a genius? Respect big man.
You're a great teacher man
Greetings from Ukraine! Eddie, you are awesome teacher. I love math only because of YOU (such as I really hated it before discovering your chanel). Thank you a lot!!!!!!
hows the invasion lol
Thank you Eddie Woo for making this topic seem accessible. I genuinely laughed at the odds of picking the winning trifecta example!
I can't believe I only found this nowwww.. but still this is so very clear, concise and coherent I think I will enjoy math from now on. 😄👍
This guy is "the teacher". Seriously best teacher ever.
tysm eddie 😭 pls continue making excellent quality vids as this!
Straight baller, I hate math.
You make math easy
keep it up please im tryna farm some loot with this powerful knowledge
Thank you never regretted watching your videos before test💪❤
the way he teaches is so understandable oh my god it is just crazily good
Your enthusiasm is infectious
An amazing professor like always
As always a very helpful video! Thanks
You are one of the greatest Mathematian
Thanks mate got an exam coming good revision!
man i swear if i had professors like him i wouldve actually paid attention in class
finally, another teacher who's acc good!
i used to be scared of maths, This is really fun , everything now makes sense
Thanks Eddie, I love yours math channels.
Watching the video 10 years later 😢
That is not a permutation, but variation! In a permutation you have to use all the elements of the sample space! Which is why it is very useful to model symmetries with permutations. N!/(R1!*R2!*...*Rn!) is the permutation with repetition and N! is the permutation without variation! What you are talking about under permutation is actually variation!
Greetings from India, sir. AMAZING VIDEO.
that one student scratching his head is definitely me not understanding a word of it.....
You are an amazing teacher. Your videos are amazing :)
Wow reference to quantum wave function which is probabilistic where exact positions are unknown but has probability of it being there
Love that he knows betting
Beautiful teaching
If you want no repeats, isn't it 10 x 9 x 9 x 9? For the third digit, I just don't want to repeat the second. But I could pick the first and it wouldn't count as a "repeat".
Wow,the date on the whiteboard..my birthday
why do you divide instead of subtracting?
There are 4 number cards 3,5,0,2.
How many ways this cards can be arrange if one card can only be used once?
4!/(1!*1!*1!*1!)
Is the audio of this vid weird or my phone's speaker broke?
6:27 - 6:31 - Why are you dividing it and not subtracting it? Could someone please explain?
A thing that always help me is imagination...
So, try to think like this (at least it worked for me):
10! = 10x9x8x7x6x5x4x3x2x1
6! = 6x5x4x3x2x1
So, if you write that as a fraction:
10x9x8x7x *6x5x4x3x2x1*
-----------------------------------------
*6x5x4x3x2x1*
When you look closely, you realize that the *bold* part repeats, and since it's all multiplications, you can cut them off...
10x9x8x7 *cut*
------------------------------------------
*cut*
So, you end up with:
10x9x8x7
Exactly what Woo wrote in the board... Simple like that! Haha
@@GabTheAdventurer Thanks a ton
@@LetsBeHuman You're welcome
Sir, Could you please explain the topic of colouring of a cube ( number of ways )
i can't believe i actually understand every thing
Amazing!
Thanks a lot sensei
I am in 10 and I am able to understand this because of his simplicity
My man.
Excellent
Thank you so much
god bless me with your brain .
thought the guy was jumping in the miniature
Why do we have to multiply????¿??¿??¿???¿
Imagine if there are 5 ways to go to a place C from a place B(B-C = 5ways) and also I have 7 ways to go to place B from A (A-B= 7ways). Now in how many ways we can go from A to C ?........well the best approach is that if I go in just 1 way from A-B then I will have 5 ways to go to C hence there are 7ways to go from A-B, then I will have (in total) 5+5+5+5+5+5+5 ways which is 35 and that is why we do 5×7=35.
Hope it helps!!!
@@rahmatazam3281 thank you so much for replying but one question ahead : that u have written (in total) = 5+5+5+5+5+5+5 which is 35 how ????
@@deepaksharma790 add 5, 7 times you get 35; 5+5+5+5+5+5+5 = 35
@@rahmatazam3281 ok now I got it thank you 🙏😇
My teacher taught me this as npr 😂😂
Can't be clearer than this.
im fucked for trials hehe xd cant wait for mystery mark :))))))))))))))))))))))))))))))
Great teaching sir
But I think the answer for permutations for 4 digit pin is
9 * 10*10*10
Because the first slot or the thousandth place has only 9 choices with zero excluded because if it starts with zero it will not be a 4 digit number
Thank you for the teaching
Helped a lot I had lost my intuitive understanding of some topics hadn't revised those parts for a long time
From india
Karthik Prabhu A four digit pin is not equivalent to a four digit number. One can have a four digit pin starting from zero.
Born teacher
I LOVE YOU.
no homo
can you pls teach our staff how to teach like you in our country🚶♂️
from India
xavier
like if your from india
Why did he divide by 6! and not subtract 6!