Permutations, Combinations & Probability (14 Word Problems)

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  • Опубликовано: 5 апр 2020
  • Learn how to work with permutations, combinations and probability in the 14 word problems we go through in this video by Mario's Math Tutoring. We discuss factorials and how to simplify factorial expressions as well as the fundamental counting principle. We also discuss the formulas for nPr and nCr as they relate to permutations and combinations. We go through different ways to approach these problems.
    Related Videos to Help You Succeed!:
    Here is an in-depth video going over Permutations, Combinations, Factorials and Probability:
    • Permutations Combinati...
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Комментарии • 507

  • @user-yj3ur6zg9s
    @user-yj3ur6zg9s 3 года назад +37

    The hero we need, but the hero we don't deserve....THANKS A TON!!!!!!!!!!!!! YOU ARE A LEGEND, AN ANGEL FROM THE SKY

  • @jazhan3315
    @jazhan3315 2 года назад +29

    Thank you so much for taking the time to make these videos! You're an incredible teacher, wishing lots of positivity your way 🙏👏

  • @_Ahmed_15
    @_Ahmed_15 3 года назад +7

    I just want to thank you for your permutation and combinations and probablity videos. I've watched all of them and they're the best videos on RUclips that finally helped me understand truly what they are how to approach and solve them instead of plug and playing the formulas. Thank you!

  • @maryzogzas7643
    @maryzogzas7643 3 года назад +9

    Thank you so much for taking the time to post these videos. Your teaching style is very effective - exactly what I was looking for.

  • @cademiller1121
    @cademiller1121 Месяц назад +6

    not me prepping for quant interviews with this video lmfao. ur a life saver bro thank you

  • @hydrolink5297
    @hydrolink5297 3 месяца назад +4

    I'm truly thankful people like you exist!

  • @marieli325
    @marieli325 3 года назад +27

    Thank you! Youre helping me feel calmer and more confident about my mid term exams coming up! Thank you again!

  • @rigs464
    @rigs464 4 года назад +243

    Hello Mr. Mario I appreciate you making your videos, as they have helped me learn during this pandemic, I hope you have a good day :)

    • @MariosMathTutoring
      @MariosMathTutoring  4 года назад +34

      Glad my videos are helping you Rigs! Thanks for letting me know!

    • @olotanna9627
      @olotanna9627 4 года назад +8

      Thank you for your videos.. Really helped me alot since the general lockdown all over the world.. Thanks again.

    • @MariosMathTutoring
      @MariosMathTutoring  4 года назад +10

      You’re welcome!

    • @MariosMathTutoring
      @MariosMathTutoring  4 года назад +10

      Fahad, this other video I did should help your understanding of the concept better: Permutations Combinations Factorials & Probability ruclips.net/video/TBnPkKxXPu8/видео.html

    • @youngmaredlyf
      @youngmaredlyf 3 года назад

      @@MariosMathTutoring sir need help

  • @jadkhalil9263
    @jadkhalil9263 Год назад +3

    really great video to solidify your understanding of the fundamentals of probability. thanks, Mr. Mario !!

  • @kirac3916
    @kirac3916 4 года назад +59

    Thank you so much for doing this video! Combinations and permutations were two concepts I never felt taught how to apply. This video will help me a lot with standardized testing!

  • @MathTutorEdu
    @MathTutorEdu 3 года назад +96

    Even though permutations and combinations can be really tough, but I find it interesting as this topic can be easily relate to the real life situation. Definitely one of the best explanation Mr. Mario 😇

    • @ben2808
      @ben2808 2 года назад +7

      Jesus Christ loves you

    • @Devasur69
      @Devasur69 Год назад +3

      Yep cuz i am an indian jee students and problems in the jee exam are much more complex

    • @MathNINJA-hf5mv
      @MathNINJA-hf5mv 9 месяцев назад +3

      and you had to mention that they are tough - don't shape your perception as if you are doing something unprecedented instead keep it easy and fun for better learning - unnecessary stress from performance anxiety and perceptive load & hardship decreases productivity alot

  • @christinezhu1357
    @christinezhu1357 11 месяцев назад +5

    This one actually teaches you how to do a variety of permutations and combination questions as related to probability! Nice! All the other ones I've seen don't do that. They do an easier question similar to the one at 14:17 and end it at that.

  • @lordcezar4657
    @lordcezar4657 8 месяцев назад +4

    6:50 Number 4 is not complete. Unless the question is vague, I understand you mean grouping 20 players into teams of 5. This is actually very common in soccer training - forming, maybe 3 teams of 6 each out of 18. These teams would then train seperately. Without restrictions, The first set can be chosen in 20C5 ways (leaving 15), the next can then be chosen in 15C5 ways, the third set in 10C5 ways and the final set of five players form a team in themselves (that means there is no selection to be made, 1 way). Total selection is 20C5 * 15C5*10C5 = 20/(5!5!5!5!)

  • @pipertripp
    @pipertripp 2 года назад

    Very helpful! Thanks much for putting this together. It's nice to have problems to pause and work and then compare the answer, and more importantly, the thought process.

  • @milakoi7832
    @milakoi7832 Год назад

    I am so glad that your videos exist!! Thank youuuuu

  • @lynguyen709
    @lynguyen709 2 года назад

    Your explanation and each example are very helpful and easy to follow. Thank you so much for a meaningful lecture!

  • @deborahfranza2925
    @deborahfranza2925 3 года назад +1

    Awesome Awesome Awesome, exactly what I needed!

  • @Daniel-ft9mp
    @Daniel-ft9mp 3 года назад +1

    find this video while studying for GMAT, so so so helpful!

  • @oskarreinfelds2033
    @oskarreinfelds2033 2 года назад

    Really appreciate the video Mr. Mario!
    Thank you

  • @nutritionbyelsa
    @nutritionbyelsa Год назад +2

    the 14 word problems is what brought me into this video! thank youuuuuuuuuuuuuuuuu!!!!!!!!!!!!!!!!!!!!

  • @anastaciaballerina
    @anastaciaballerina 2 года назад

    Thank you for all these questions and thoughtful explanations

  • @pixeletral734
    @pixeletral734 2 года назад

    thank you, Mr. Mario. the videos are great and the action of going through 14 unique questions really helps as you explain with much clarity.

    • @ben2808
      @ben2808 2 года назад

      Jesus Christ loves you

  • @EngSeifHabashy
    @EngSeifHabashy 2 года назад +1

    I've been struggling with this
    You're a great teacher

  • @alexissangabriel8143
    @alexissangabriel8143 3 года назад

    Hi mr. Mario i just want to say my appreciation to you 😊 when my teacher say that we should watch a videos about or topic i always want to watch your videos because it always help me a lot 😊 thank you 😊 hope you read my message of appreciation ☺️

  • @tanviapte6238
    @tanviapte6238 Год назад

    this explanation helped me so much. I am so thankful Mr. Mario
    !

  • @brunodeclercq646
    @brunodeclercq646 2 года назад

    Thank you Mr. Mario! Loved the video, the geometry problem and the circle problem were challenging...

  • @joikonkazama7996
    @joikonkazama7996 3 года назад +5

    Thank you so much for this lesson, I hope you continue making great content like this sir.

    • @ben2808
      @ben2808 2 года назад

      Jesus Christ loves you

  • @GuppyPal
    @GuppyPal 3 года назад

    This is a good intro or review of this stuff. Very helpful. Thank you!

  • @claireaubreyvergara2437
    @claireaubreyvergara2437 3 года назад

    Thank you so much! This is very helpful.

  • @mohamudali3138
    @mohamudali3138 3 года назад

    This on of the most effective ways of teaching . 100 out of 100 greetings from Cyprus

  • @francisc909
    @francisc909 4 месяца назад +2

    fantastic that you put all these formulas together in one video, thanks!

  • @hetori9918
    @hetori9918 Год назад +2

    this one is the hardest in basic math I just can not understand but memorize the ways to solve and I believe even the ones who made questions can not solve other new quizzes cause I never seen someone on YT can explain them clearly

  • @once822
    @once822 3 года назад +4

    THANK U SO MUCHHHHHHH! REALLY APPRECIATE IT

  • @christopherrobin8383
    @christopherrobin8383 Год назад +2

    Great video! I think question 4 can also act as a good example for replacement/non-replacement probability, as well as the order in which the specific cards are chosen.

  • @gh3stly627
    @gh3stly627 Год назад

    Thank you so much! I understand these types of problems better now!

  • @officialmanymar7389
    @officialmanymar7389 Год назад

    Thank you Mr Mario...the lesson has been very helpful

  • @persephone2610
    @persephone2610 2 года назад

    THANK YOU SO MUCH SIR! my classmates were so smart so the lessons were fast but im a slow learner so i never understood the lessons. YOURE A LIFESAVER SIR!!

  • @enashameed471
    @enashameed471 3 года назад +1

    Thanks جزاك الله خيرا ❤

  • @ravenholbrook2353
    @ravenholbrook2353 3 года назад

    Thank you for your quality videos.

  • @rkok8338
    @rkok8338 2 года назад

    thank you so much for the video!! easy to understand and exactly what I face in exams!! God bless you!

  • @vasilanuralieva8130
    @vasilanuralieva8130 3 года назад

    Thank you so much for making this video. It helped me a lot

  • @surativeplaysgames6922
    @surativeplaysgames6922 Год назад +1

    cant thank you enough for this ive been struggling with this for a while and this video was the breakthrough for me :)

  • @drishtibaliga9168
    @drishtibaliga9168 3 года назад +22

    As a Humanities student who is afraid of maths and hasn't learnt it in the past 4 years, and all of a sudden has it now as a major paper, these videos have helped a lot! Your teaching is brilliant! Thanks a ton!! :D

    • @ben2808
      @ben2808 2 года назад

      Jesus Christ loves you

  • @sahebnag9147
    @sahebnag9147 3 года назад

    A very clear and detail video. My concept is cleared. thank you.

  • @havmsk59
    @havmsk59 2 года назад

    Very helpful video, thank you so much!

  • @user-ok9lu2hg2m
    @user-ok9lu2hg2m 8 месяцев назад +2

    Cheers for this descriptive lesson, I learnt SOOO much!!!!

  • @yashraj8028
    @yashraj8028 2 года назад

    So calming 😇☺. Your teaching is just so good and soothing.

  • @stephen8374
    @stephen8374 Год назад

    Thank you very much for this, it's been very helpful!

  • @acevirku2701
    @acevirku2701 Год назад

    Mr. Mario, thank you. this is the video I wanted to find. out of the hundreds I've gone through, this is the video I needed. Thank you

  • @AnIdiot_or_simply_AI
    @AnIdiot_or_simply_AI 2 года назад

    I didn't seem to get a grasp of combinations/permutations for a very long time until I watched your video!

  • @SS-pn7ss
    @SS-pn7ss Год назад

    Thank you so much for this very helpful video, it includes all the good ideas.

  • @user-wx1pt1cc1n
    @user-wx1pt1cc1n Год назад

    Seriously the best video!!! 😎👏

  • @arimakousei2380
    @arimakousei2380 Год назад

    Thank you, sir. Nice lecture!

  • @kaylajohnson241
    @kaylajohnson241 3 месяца назад +2

    Thank you! I am relatively good at math however, the way this is being taught to me by my professor is almost like rocket science. There is no room for asking questions because the professor will belittle you. Your videos help tremendously and allow me to feel a bit more confident!!

  • @padmajachallagundla5486
    @padmajachallagundla5486 3 года назад +1

    As usual a very good explanation sir.I really admire you 😊😊

  • @alial-fatlawi5565
    @alial-fatlawi5565 3 года назад

    Great video!! 👍 really helpful during pandemic

  • @violettiourestinpeacetechn4742
    @violettiourestinpeacetechn4742 3 года назад +4

    Amazing Mr. Mario. Before watching this, all of the questions I tried to solve were all wrong and failed. Right after I watched this, I received one correct so far :D Thank you for making this video; I hope you and your family are safe during quarantine. Have a good day!

    • @ben2808
      @ben2808 2 года назад

      Jesus Christ loves you

  • @Asad_Ullah
    @Asad_Ullah 2 года назад

    Made my day you teacher!!!!!

  • @calebmcdaniels8535
    @calebmcdaniels8535 Год назад

    one of the best math videos ever made

  • @twice.choutzuyu3312
    @twice.choutzuyu3312 3 года назад

    Amazing Channel! Gobless you sir

  • @arnel032478
    @arnel032478 3 года назад

    Thank you to your video tutorial. It is very helpful

  • @martinelly254
    @martinelly254 3 года назад +1

    hi....appreciated so much helped me understand it more

  • @macrop8
    @macrop8 3 года назад

    This video is so awesome I can’t believe it

  • @diocresshabimana6646
    @diocresshabimana6646 3 года назад

    your videos mainly are helpful for teachers and students.

  • @olina_123
    @olina_123 3 года назад

    This was very helpful!

  • @user-ld2bh8ed7x
    @user-ld2bh8ed7x 6 месяцев назад

    Nice explanation. You have made me understand this topic better

  • @particleonazock2246
    @particleonazock2246 3 года назад

    Thank you Mario

  • @mh5102
    @mh5102 2 года назад

    thank you so much! this has helped me tremendously !!

  • @assassinforce5637
    @assassinforce5637 2 года назад

    Helpful video. Very thorough

  • @tshering2003
    @tshering2003 4 года назад +3

    Thank you, really great job

  • @Lisi_Mxo
    @Lisi_Mxo 4 месяца назад +1

    Can't thank you enough. I can finally get some traction in my Stats course.

  • @aishiaratrika
    @aishiaratrika 3 года назад

    Thanks a lot for your amazing content.

  • @AvinashKumar-bd9qt
    @AvinashKumar-bd9qt 8 месяцев назад

    Mr mario was watching your videos yesterday and just to let you know youre better than my private tutor. ive grapsed the concept a bit but im still struggling. hope you can help me more

  • @rajeealidao5296
    @rajeealidao5296 2 года назад

    Thank you very much.

  • @ccs6group4
    @ccs6group4 Год назад

    thank you so much for this! helped me a lot

  • @bigbutts5
    @bigbutts5 10 месяцев назад +1

    Yo just totally saved my life!!!

  • @lizzy2991
    @lizzy2991 10 месяцев назад

    Excellent video, thank you. The examples really helped clarify the different formulas and the practice was useful.

  • @megemeep
    @megemeep 10 месяцев назад

    Thank you so much sir! I love your teaching style, it made everything really clear and easy to understand.Please keep doing what you're doing!

  • @omagbs2713
    @omagbs2713 2 месяца назад

    Oh man. You make it easy! Thank you

  • @kylehostetter13
    @kylehostetter13 4 месяца назад

    Thank you so much for the practice problems!! These are great and are really helping me combat probability!

  • @EnzoBenzo-kl
    @EnzoBenzo-kl Год назад

    Mr. Mario you're so super!!!

  • @lailaamin6548
    @lailaamin6548 2 года назад

    Excellent!

  • @dharmarajwadeyar1767
    @dharmarajwadeyar1767 Год назад +1

    superrr exaplanationn sirr thnxxx

  • @user-hc7qg2md5k
    @user-hc7qg2md5k 4 месяца назад +1

    Watching this now due to due to my maths test at 8am and I haven't felt more confident about this topic. Respect man. A go take am as ei dey atleast yawa no go gas for my side

  • @johnnylolo667
    @johnnylolo667 2 года назад

    Very helpful..... IM passing uni because of this guy!! big ups toko.

  • @abdulkarimawajeakuki4691
    @abdulkarimawajeakuki4691 Год назад

    That's great. I'm watching from Nigeria

  • @lyf2437
    @lyf2437 4 года назад

    Thank you so much!!!

  • @abdulwahididris6543
    @abdulwahididris6543 Год назад

    Thanks sir , indeed you're good teacher 💪.

  • @phenomenally2575
    @phenomenally2575 2 месяца назад

    Thank you sir for such an understanding into these tricky concepts.❤

  • @annacernakova7383
    @annacernakova7383 Год назад

    Great video! I’m very grateful it got recommended.

  • @mikal-_-7944
    @mikal-_-7944 3 года назад

    thank you so much i found this super helpful

  • @rebeccapierre2384
    @rebeccapierre2384 Год назад

    Thank you so much for this video.

  • @samiasamia5377
    @samiasamia5377 2 года назад

    i appreciate your work

  • @jesuyacked
    @jesuyacked 2 года назад

    amazing how you explain

  • @Lalib-jd9qh
    @Lalib-jd9qh Год назад

    This was a big help

  • @sayori4856
    @sayori4856 2 года назад

    Thank you, this is helpful with my olympiad

  • @caesarshi9114
    @caesarshi9114 2 года назад

    I found the video which I really needed, Thanks u!

  • @Useruny8097
    @Useruny8097 Месяц назад

    Thank you sir, your video was really helpful. I understand the topic much better.

  • @itzuey
    @itzuey Год назад

    Thank you. This will help me alot since I have exam about this topic in 2 days.

  • @zakwaannn
    @zakwaannn Год назад

    Thank you so much for this video, I find your video is the easiest way to understand because a lot of example is given :) Keep up the good work! I like the way you teach!