How to Use Permutations and Combinations

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  • Опубліковано 15 бер 2016
  • Learn how to use Permutations and Combinations in this free math video tutorial by Mario's Math Tutoring. We discuss the formulas and how to use them to solve some example problems.
    0:15 What is a Permutation
    0:24 Formula for Permutations nPr
    0:44 Formula for Combinations nCr
    1:05 Introductory Example Choosing Marbles Showing the Difference Between Permutations and Combinations
    3:35 Example 1 How Many Ways to Arrange 5 Books on a Shelf
    4:40 Explaining What 0! Equals
    5:03 Example 2 How Many Ways to Pick 2 Co-Captains
    6:25 Example 3 In a 50 Person Race How Many Ways Can You Award Gold, Silver, & Bronze?
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КОМЕНТАРІ • 274

  • @MariosMathTutoring
    @MariosMathTutoring  4 роки тому +46

    Like this video but want more examples? Check out this video I did covering Permutations, Combinations, as well as Factorials here: ua-cam.com/video/TBnPkKxXPu8/v-deo.html

  • @sarahkroeker9237
    @sarahkroeker9237 6 років тому +272

    somehow its 2 am again and here i am trying to study for tmrs test, eating a jar of pickles

  • @samiracambridge8930
    @samiracambridge8930 2 роки тому +4

    I've found someone who teaches using simplified words and a step-by-step, PATIENT, method! Thank you kindly!

  • @BangMaster96
    @BangMaster96 3 роки тому +19

    Thank You. I like it when Math is explained straight forward and is self-explanatory.

  • @JT-od9hm
    @JT-od9hm 3 роки тому +21

    You are very good at explaining this! I’m studying for the GRE and its crazy how much how someone teaches a math concept makes a difference! There was a few things you wrote on the white board though that I wish were a little more legible :P

  • @Ali_azimi
    @Ali_azimi 3 роки тому +7

    I love how simply you explain it, and how easily I understand you!!! You're the best teacher!

  • @vipers9695
    @vipers9695 5 років тому +48

    THE MAN, THE MYTH, THE LEGEND!!!!

  • @kanishkasharma6178
    @kanishkasharma6178 16 днів тому

    You're a great teacher. Many people teach maths but not all are good teachers. You're doing a good job. Keep it up!

  • @markeemark7472
    @markeemark7472 3 роки тому +4

    Dude I've watched a few of your videos now and your very good at explaining things 👌

  • @fuadnadi8578
    @fuadnadi8578 3 роки тому +2

    Man... Thank you thank you thank u!!! I hope youtube pays you way way more cause you deserve it!

  • @virginiaw8608
    @virginiaw8608 2 роки тому +1

    Taking a Lib Arts Math in college, 20+ years after graduating high school and never having taken more than basic math. You are a blessing! The last question was cut off short, I really wanted to see how it was figured. But I will look at your other videos for sure.

  • @annh.4860
    @annh.4860 4 роки тому +4

    THANK YOU so much. I've been soooo confused over this and I'm halfway through your video but I already understand it. I was really confused at the formulas but you've explained it so well. i love how you simplified it. Thank you once again.

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому

      You’re welcome Ann! If you need more help check out this other video I did here: Permutations Combinations Factorials & Probability ua-cam.com/video/TBnPkKxXPu8/v-deo.html

  • @umarsiddiqui849
    @umarsiddiqui849 3 роки тому

    Love you sir , I was trying hard on UA-cam to understand this P and C...but your explanations was awesome.

  • @jedellelafuente6989
    @jedellelafuente6989 3 роки тому

    U r a savior- u explain very throughly and i wish more teachers taught like this

  • @user-fz1cj8rh6k
    @user-fz1cj8rh6k Рік тому +1

    Crystal clear explanation.

  • @nickelahmcdowell5492
    @nickelahmcdowell5492 5 років тому +5

    I enjoy your videos so much, you explain clearly and get straight to the point. I have an EOC coming up for Algebra 2 and the only way I know I’ll be familiar with problems is through you! Thank You! ☺️

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому +3

      Glad my videos are helping you! For help with your EOC you may want to check out my Algebra 2 Midterm review video and my Algebra 2 final exam review video.

  • @janina5518
    @janina5518 6 років тому +21

    Thank you, helped a lot! I had trouble seeing the difference between permutation and combination, but you made it clear.

  • @DrWeselcouch
    @DrWeselcouch 3 роки тому

    This is a great video! Short, sweet, and to the point!

  • @MemesYern
    @MemesYern 3 роки тому

    200th comment and a new subscriber here from Philippines. This video helped me a lot. ❤️ Thank you!

  • @rajtiwari00
    @rajtiwari00 2 роки тому

    love you sir i get a new mindset to understand the question

  • @chasebaxter4143
    @chasebaxter4143 3 роки тому +1

    Great job sir, thank you.👍

  • @BobLovesApplepie
    @BobLovesApplepie 2 роки тому

    Great explanation! Keep it up

  • @huihuang2431
    @huihuang2431 3 роки тому +27

    Most people: got exams me: just got homework and is vibing during this 😂

  • @beans4392
    @beans4392 Рік тому

    Thank you so much bro, finally understand this concept :)

  • @m_elanyy
    @m_elanyy Рік тому

    I have a test on this today and I had no idea how to do it bc my teacher wouldn’t explain it well but you just saved my grade, thank you!

  • @AjayKumar-dk8sf
    @AjayKumar-dk8sf 4 роки тому

    Amazing Video! Permutations and Combinations just got so much easier

  • @jamplayz260
    @jamplayz260 2 роки тому

    This has helped me and I'm subbing.🔥

  • @Mech__bhupendra
    @Mech__bhupendra 3 роки тому

    Amazing video❤️❤️❤️ it help me a lot!!!

  • @luisluiscunha
    @luisluiscunha 5 років тому +1

    Excellent: thank you very much. Nicely explained.

  • @eeliylilehto3195
    @eeliylilehto3195 4 роки тому

    Such a great video! saved me so much time. GOLD

  • @shifayasin2828
    @shifayasin2828 3 роки тому +1

    Helped a lot!

  • @luluandleo4661
    @luluandleo4661 Рік тому

    man this was so helpful..thanku sir...

  • @meatman9103
    @meatman9103 3 роки тому

    Thank you so much this helped a lot

  • @longdeadchannel8311
    @longdeadchannel8311 4 роки тому

    Thanks for this video, very easy to understand! Subscribed.

  • @a.gnailz
    @a.gnailz Рік тому

    My son needed help with this thank you 🙏🏽

  • @shokhrukhmirzaev758
    @shokhrukhmirzaev758 4 роки тому

    Your videos are so helpful, wish all the best. Respect

  • @mondolawrancearmba
    @mondolawrancearmba 8 місяців тому

    Excellent explaination awalys... Please I really need some of calculus explaination... Hope to hear from you... thanks 👍

  • @mimie537
    @mimie537 10 місяців тому

    Great video, well explained thank you!

  • @michaelphillips593
    @michaelphillips593 4 роки тому

    you are a beast mario thanks for helping me in stats!

  • @trevorscott3275
    @trevorscott3275 4 роки тому +2

    This helped, thank you.

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому +1

      Glad my permutation and combination video helped you Trevor!

  • @kamrulhassan7157
    @kamrulhassan7157 6 років тому

    Nice explanations. Thanks a lot.

  • @alifiskandar85
    @alifiskandar85 4 роки тому

    Tq @Mario Math Tutoring ,You ease my basic concept💪

  • @sonia-or3io
    @sonia-or3io 5 років тому +2

    YOU ARE AMAZING!

  • @mikef9677
    @mikef9677 6 років тому +4

    Mario, thank you so much for the clear video. I've spent the last day trying to find a good explanation and this is definitely the best one. Appreciate the effort!
    Mike

    • @MariosMathTutoring
      @MariosMathTutoring  6 років тому

      Your welcome Mike. Glad my video helped you.

    • @mikef9677
      @mikef9677 6 років тому

      Mario, I am sorry to ask but I would love if you could help me with this question.
      "Last week ABC Company's stock had 3 advances, 1 decline and 1 unchanged (total of 5 trading days). In how many ways could this set of outcomes have happened?"
      I know that this would be a permutation because of the fact the order does matter. Do you have a video that explains how to do this calculation? I would really appreciate some guidance on where you could send me for assistance with that! Appreciation from Canada,
      Mike

    • @rushil505
      @rushil505 2 роки тому

      @@mikef9677 Hey Mike the answer is 120. You can either use the fundamental counting principle, or the given formula to find no. of permutations. Either way, because we have 5 factorial ways, hence 5! = 5*4*3*2*1 = 120, or input the numbers into the formula as follows, 5P5 = 5! / (5-5)! which is 120/1. Hope you can finally pass your class now after 3 years lol!

  • @roycemilton8472
    @roycemilton8472 4 роки тому +1

    IT FINALLY MAKES SENSE, WOO.

  • @balageodusty1101
    @balageodusty1101 4 роки тому +1

    it was helpful sir. thank you so much.

  • @lewiduressa
    @lewiduressa 6 років тому

    Helpful video! It helped me.

  • @gnicollanos
    @gnicollanos 3 роки тому

    Very helpful!

  • @basselkordy8223
    @basselkordy8223 6 років тому +1

    Thank you very much sir i really appreciate your efforts

  • @jamiesuka813
    @jamiesuka813 5 років тому

    This video was a lot more fast pace compare to the beginner ones that I've watched prior to this. I chose this video on purpose to see how fast I learned the formula for each one and see how well I can solve each equations without looking at the formulas afterwards. I really did enjoyed it.
    Jamie Toloa

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому

      Glad you liked the video Jamie! Here is a more recent one I did if you want more examples:
      Permutations Combinations Factorials & Probability ua-cam.com/video/TBnPkKxXPu8/v-deo.html

  • @josephpark1578
    @josephpark1578 5 років тому +1

    Thank you so much for helping me understand how to do this.

  • @samehayman3371
    @samehayman3371 4 роки тому

    Much love for ur help ❤️

  • @BS37L
    @BS37L 5 років тому +1

    Thank u , u helped me a lot :)) ❤️

  • @syedrizvi2687
    @syedrizvi2687 2 роки тому

    Thank you so much!

  • @coolyt4567
    @coolyt4567 4 роки тому

    Mario your teaching is very helpful eith understanding permutations

    • @MariosMathTutoring
      @MariosMathTutoring  4 роки тому +1

      Glad my video helped you understand permutations better!

  • @mutahir2002
    @mutahir2002 6 років тому

    When some guy on UA-cam is a better teacher than your own... hehe, good job. Helped a lot for my final :)

  • @alexiskayla3775
    @alexiskayla3775 3 роки тому

    Thanks you so much🙏🏾🙏🏾🙏🏾🙏🏾

  • @CE_SauravKumar
    @CE_SauravKumar 5 років тому

    Very informative video , thanks

  • @emmashah5551
    @emmashah5551 2 роки тому +2

    Nice video. I love you

  • @priyanshmishra5223
    @priyanshmishra5223 6 років тому

    Thanks alot you made it very clear sir

  • @user-ir7yz1dx7u
    @user-ir7yz1dx7u 4 роки тому

    Thank you for helping me a lot

  • @dhineshsattia7361
    @dhineshsattia7361 5 років тому

    Thank you Sir, this helped me to understand the difference between npr and ncr .

  • @hillsthetwin
    @hillsthetwin 4 роки тому +1

    This was extremely helpful. I am in Year 8, and we are learning this in school. I think this will help me alot.

  • @amruthaanshuman3071
    @amruthaanshuman3071 3 роки тому

    Thank you!

  • @ayazelahimullick2431
    @ayazelahimullick2431 Рік тому

    You LEGEND!!

  • @syd148
    @syd148 Рік тому

    thank you so much

  • @hayatashiru9859
    @hayatashiru9859 4 роки тому

    Very helpful ! thank you

  • @fawnmarie906
    @fawnmarie906 2 місяці тому +1

    This helped me

  • @brizie03
    @brizie03 5 років тому

    thank you for this!

  • @mr.azeemakatheprofessional2498
    @mr.azeemakatheprofessional2498 5 років тому +11

    This channel needs salute 😉

  • @beaubeaudette
    @beaubeaudette Рік тому

    Thank you kind sir

  • @himanshusingh-er7dd
    @himanshusingh-er7dd 2 роки тому +1

    Thankyou sir !!!!

  • @basic3837
    @basic3837 5 років тому +1

    Thank you so much sir.

  • @risegiy5647
    @risegiy5647 Рік тому

    really good explanation

  • @haze2049
    @haze2049 3 роки тому

    Thank you mah friend

  • @Lxy_YT
    @Lxy_YT 2 місяці тому +1

    Really helpful❤❤

  • @chris-p-bacon1053
    @chris-p-bacon1053 5 років тому +1

    hello sir,i am a student from bangladesh and i have been stuggling for quite soome time on PnC due to lack of concepts and the fundamental basics but today you have solved all of my problem so thanks a lot sir.

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому

      You’re welcome Pitak! Glad to hear my videos have been helping you!

  • @tundasoreem9261
    @tundasoreem9261 3 роки тому

    Thank you

  • @chinesename1171
    @chinesename1171 Рік тому

    Thank you so much... already, in the first minute of your video, you have made it more clear than my terrible teacher has in the multiple weeks of class. I have an exam tomorrow and was stuck on how this works, but this helped a lot!!

  • @ravitiwari6335
    @ravitiwari6335 4 роки тому

    love from india, Thanks for clearing concept. sir

  • @jordanadkins4362
    @jordanadkins4362 3 роки тому

    Good teacher!

    • @jordanadkins4362
      @jordanadkins4362 3 роки тому

      To teach this stuff you have to understand it at a fundamental level. I don't know why you chose to teach it instead of becoming an engineer, but we're all better for it.

  • @springsummer3976
    @springsummer3976 4 роки тому

    Thank you sir. Your explanation is better than my teacher's :p

  • @remy2058
    @remy2058 5 років тому

    Really helpful thanks

  • @asadkhalid8840
    @asadkhalid8840 5 років тому +1

    Great.

  • @varshinivijay2703
    @varshinivijay2703 4 роки тому

    thanks so so so much

  • @conniecabasan3739
    @conniecabasan3739 4 роки тому +1

    I understand your point😁😁😁
    I’m studying for my exam tom and I subscribed.

  • @eberperez954
    @eberperez954 Рік тому

    This is one of my Edpuzzle

  • @catherinecarrasco4522
    @catherinecarrasco4522 4 роки тому

    Thanks !

  • @sc00badive
    @sc00badive 2 роки тому

    Excellent video, I totally get it now, but it cuts off at the end.

  • @kumaranand5853
    @kumaranand5853 5 років тому

    Sir bahut achha padhaye

  • @kersh2550
    @kersh2550 6 років тому

    Thanks for clear my prblm

  • @user-lu1tk8nl7f
    @user-lu1tk8nl7f 8 місяців тому

    Huge W

  • @rohanroy9329
    @rohanroy9329 6 років тому

    it the second in the team their might be a captain if i am right then the two captains could be picked from 19 players right?

  • @tiffinsuresh860
    @tiffinsuresh860 3 роки тому

    for the 2nd question..my guess is that 19C2 or (19,2) is right becaus in a team there will be a captain so we can't pick the captain to be a co-captain.
    Anyway, wonderful class thank you

  • @NowBytez
    @NowBytez 4 роки тому

    niice vid it helps me

  • @lostfan5054
    @lostfan5054 Рік тому

    Heck yes

  • @GR-su3xc
    @GR-su3xc 6 років тому

    I would llike to know who is the s.o.b. that would dislike such useful video!
    Thanks Mario for your effort

    • @MariosMathTutoring
      @MariosMathTutoring  6 років тому

      Thanks Giovanni. Glad to know I’m making a difference to some people out there.

  • @vedikakamane1768
    @vedikakamane1768 5 років тому +1

    Tysm

  • @MeMe-wc9qv
    @MeMe-wc9qv 2 роки тому +1

    I can understand other solutions such as 7C3, 12C7 but I cant seem to solve 32C18 × 3P2 ... the answer I got was 4.713 and 6 which is equals so ??? But the real answer was 4960 × 153 = 758 880 😥 Im CoNfUsEd

  • @jattjamesbond8796
    @jattjamesbond8796 4 роки тому

    This concept is new to me and I understood in 7 mins. Thanks sir