How to tell the difference between permutation and combination

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  • เผยแพร่เมื่อ 8 ก.ค. 2024
  • This is not my best video on this. I just remade it after I had enough people tell me to do so. Here is the link to a much longer version of this video with lots more examples and explanations!!!!! • Difference between Per... I do have two videos that go into permutation and combination separately and I spend time explaining them with simpler examples. This video should really be watched after those two. Im not sure why this one is so popular. Here is the combination vid • What is a combination and here is the permutation video • What is a permutation . How to tell the difference between a permutation and a combination. Here are several examples that will help you understand the difference.

ความคิดเห็น • 490

  • @Xforeverlove21
    @Xforeverlove21 5 ปีที่แล้ว +127

    If anyone is confused with the school board questions. The first one is combination because it said "3 people" which is to say ANY 3 from the 8 will do. The next one says "3 DIFFERENT responsibilities" which is to say it matters which 3 from the 8 gets which unique responsibility. Essentially for these problems pay attention to wording.

    • @tatendacharleszindoga7542
      @tatendacharleszindoga7542 ปีที่แล้ว +1

      Thanks because I had combination. I really over looked the word different.

    • @Chrisd0ntmiss
      @Chrisd0ntmiss ปีที่แล้ว

      Thanks

    • @skotskot3379
      @skotskot3379 10 หลายเดือนก่อน +4

      💀💀💀gonna have to take some time getting used to these

    • @MindMatter97
      @MindMatter97 2 หลายเดือนก่อน

      The video was helpful , but your comment was more helpful than the video ❤thank u

    • @AbrahamMorris-kq2ll
      @AbrahamMorris-kq2ll 12 วันที่ผ่านมา

      Can I send you a question on it

  • @moonfog6888
    @moonfog6888 ปีที่แล้ว +32

    Thank you!
    My takeaway:
    • Permutation:
    - arrangement
    - order matters, i.e., A, B ≠ B, A
    • Combination:
    - selection/choice
    - order doesn't matter, ie, A, B = B, A

    • @danielschaben
      @danielschaben  ปีที่แล้ว +7

      Glad it was useful! Thanks for the comment.

  • @rehmanali4529
    @rehmanali4529 2 ปีที่แล้ว +8

    Who else is here one night before the examm

  • @alpha.epsilon4621
    @alpha.epsilon4621 6 ปีที่แล้ว +11

    Too educational and the examples are understandable just goes in my mind this topic took my teachers 2 weeks to cover still can't get what my teachers thaught but ur 8 minutes videos just helped me out in the best way

  • @silverstream233
    @silverstream233 7 ปีที่แล้ว +534

    so why is our locker code called locker COMBINATION and not locker PERMUTATION if the order matters? (this is what my math teacher said btw)

    • @danielschaben
      @danielschaben  7 ปีที่แล้ว +95

      I will have to use that one. Thanks!!!!!!

    • @melissabarredo1267
      @melissabarredo1267 7 ปีที่แล้ว +8

      jungkook i thought you graduated already? XD

    • @gretawilliams8799
      @gretawilliams8799 6 ปีที่แล้ว

      Bangtan_Animegirl
      Wrong sound

    • @soapboy5556
      @soapboy5556 4 ปีที่แล้ว +2

      FooBar Maximus can you prove what you’re saying? sorry it’s just I’m a bit skeptical of what you’re saying

    • @phuongnguyen-kc8hi
      @phuongnguyen-kc8hi 4 ปีที่แล้ว +4

      FooBar Maximus shit you’re a genius just blame it on your proffessor and scientists. Its always not your fault but its always someone else fault. What a genius.

  • @shapi9861
    @shapi9861 4 ปีที่แล้ว +132

    Why these word problems are so easy while my teacher gives the most confusing ones. This is the only time i've predicted everything right 😂

  • @jackp8687
    @jackp8687 4 ปีที่แล้ว +5

    Thank you for actually explaining how you do things and not just what to do. You are a God send.

  • @kennethchidiebere9927
    @kennethchidiebere9927 ปีที่แล้ว +3

    This Last 2 questions is the one I have been struggling with from my textbook but u have done justice to it, thanks man👌

  • @dainedada
    @dainedada 5 ปีที่แล้ว +6

    I just had my Eureka moment! Thank you for this video!

  • @emmett9199
    @emmett9199 4 ปีที่แล้ว +28

    Thank you so much! I was having a bit of trouble with recognizing a permutation vs a combination, and this video cleared that up nicely!!

  • @jamiesuka813
    @jamiesuka813 5 ปีที่แล้ว +14

    This is the second video that I watched so far in two hours about permutation and combination. I like how this video focuses on the differences between the two which helped me understand it a bit better. The number of examples also was very helpful. Thank you
    Jamie Toloa

  • @joelnicholson545
    @joelnicholson545 7 ปีที่แล้ว +100

    @Daniel, Thank you so much!!! I figured it out, turns out that I didn't do 3.2.1 and ended up with 6 at the bottom, that's the only mistake I made. But I really appreciate your help!!! God Bless you!

    • @intelilearning8341
      @intelilearning8341 4 ปีที่แล้ว

      Great Video 👍
      Tip: Use "Universal Calculator"(formula mode) App to perform Permutation and Combination automatically, this helps to verify your answer, learn and understand quickly.
      Download from Play Store : play.google.com/store/apps/details?id=com.shahalam7862020.calculator

    • @anitakhanal6682
      @anitakhanal6682 2 ปีที่แล้ว

      @@intelilearning8341 I'm not
      My kwo look ok l Ok I'll only usually,

    • @ben2808
      @ben2808 2 ปีที่แล้ว +1

      Jesus Christ loves you

  • @adrianazul4229
    @adrianazul4229 5 ปีที่แล้ว +2

    I will be regret if i dont watch this vid before answering my final exam..it helps A LOTTTT..likeeee it really make me understand the concepttr

  • @daddyme6297
    @daddyme6297 5 ปีที่แล้ว +4

    This helped me a lot, thank you so much, you are doing a great job 👍

  • @thegamingmachines3703
    @thegamingmachines3703 2 ปีที่แล้ว

    thank you SAL
    i just randamly searched for difference i never thought that you would teach it because just before this video i had watched a video of yours at khan academy
    iam happy with the coincincedence

  • @snakebytes4324
    @snakebytes4324 6 ปีที่แล้ว +201

    i feel like you couldve explained why it would be a permutation or a combination better... im still confused

    • @danielschaben8312
      @danielschaben8312 6 ปีที่แล้ว +7

      Will do some work on this when I get my equipment replaced. I see that this is a topic that needs several clarifying videos for.

    • @swallow1106
      @swallow1106 6 ปีที่แล้ว +37

      When the "bucket" is unique, you never double count. When the "bucket" is not unique, you have to account for double counting.
      Quick example. If A B C are receiving 2 x $5 dollar bills (bucket). You will end up with A and B , B and A, A and C , C and B. See how A and B is same as B and A since the $5 dollar bill isn't unique and you will need to remove this later. If A B C are receiving a 1 dollar bill and a 5 dollar bill you will end up with: A(1dollar) and B(5dollar), B(1dollar) and A(5dollar) in this scenario you don't have to worry about double counting.

    • @silverbowftw5225
      @silverbowftw5225 5 ปีที่แล้ว +12

      @@swallow1106 what?? Omg

    • @ck4786
      @ck4786 5 ปีที่แล้ว +43

      Basically the difference is that in a Permutation, the order matters. In the first example in the video, 3 people were to be chosen out of 10 for 3 UNIQUE prizes (the $20, $10, and $5 prizes). Meaning that the same person who wins the $20 could not also win the $10 or the $5 prize, the prizes are unique. This question could have been made into a Combination problem (where order does NOT matter) by asking how many ways can 3 people out of 10 be selected for the SAME VALUE of prizes (three $5 for example). It doesn’t matter if you win the first $5, or the second $5, or the third $5... you’re getting the same prize. Basically it’s about whether what you’re calculating the probability is for a unique thing or just multiples of the same thing. I hope that helps somewhat.

    • @lulu-723
      @lulu-723 5 ปีที่แล้ว +1

      @@ck4786 thank you

  • @STRAIGHTUPSTEAM
    @STRAIGHTUPSTEAM 6 ปีที่แล้ว +2

    Just the refresher I needed before my finals

  • @ishmeetbindra5428
    @ishmeetbindra5428 7 ปีที่แล้ว +1

    Thanks for the video.You explained the difference quite well

  • @wesdasavage1412
    @wesdasavage1412 5 ปีที่แล้ว +1

    This video was very helpful I now know the differences between the two

  • @santununagchowdhury
    @santununagchowdhury 7 ปีที่แล้ว +2

    Thank you sir ! great tutorial . This examples are very helpful to understand . :)

  • @vidajabari6508
    @vidajabari6508 6 ปีที่แล้ว +1

    Thank you so much it was so clear i had problem with identifying the permutation and combination

  • @hakurouxavier8560
    @hakurouxavier8560 5 ปีที่แล้ว +8

    Finally!!! A video with my type of calculator

    • @dileaman
      @dileaman 5 ปีที่แล้ว

      calculator app link please

  • @MyKombucha
    @MyKombucha 4 ปีที่แล้ว

    So helpful. Thanks for throwing one with a twist!

  • @stablility1043
    @stablility1043 ปีที่แล้ว

    My exam is today. This video explained the topic SO WELL. I'm finally looking forward to my exam.🎉

  • @liv1158
    @liv1158 2 หลายเดือนก่อน

    Thank you so much! This is SO helpful, you have no idea!

  • @matrixfafnir6463
    @matrixfafnir6463 7 ปีที่แล้ว +1

    thankss !! next tomorrow is my biggest exam in my life and i know how to solve it in additional mathematics exam !! thank :))

  • @summeraustin-guevara3162
    @summeraustin-guevara3162 7 ปีที่แล้ว +2

    Very helpful, thank you!

  • @goriolaganiu403
    @goriolaganiu403 ปีที่แล้ว +1

    You really answer my nagging question which is different between knowing combination and permutation from the term of Selecting*...if the selection is termed Different then use Permutation and if rephrased as Same then apply Combination

  • @rishikeshs2924
    @rishikeshs2924 4 ปีที่แล้ว +1

    I found it so helpful for my exams thanks

  • @celiaargent8895
    @celiaargent8895 7 ปีที่แล้ว +1

    thank you!! An amazing explanation))

  • @dumisanichitaukali929
    @dumisanichitaukali929 5 ปีที่แล้ว +1

    no longer confused ..good job sir

  • @foivechan
    @foivechan 4 ปีที่แล้ว

    Thank you. You really helped me understand this topic very well.

  • @aditipatra6837
    @aditipatra6837 7 ปีที่แล้ว +2

    Omg wish my math teacher had told me that earlier. Tysm!

  • @abdullahalmonaem335
    @abdullahalmonaem335 7 ปีที่แล้ว +3

    Good Job. Thanks a lot.

  • @josephstepp6325
    @josephstepp6325 7 ปีที่แล้ว +11

    thank you! Have a test tomorrow on a bunch is stuff on probability, this is the one thing that confused me on identifying them but much more clear now

  • @jelenakrstanovic9934
    @jelenakrstanovic9934 6 ปีที่แล้ว +1

    Great explanation.

  • @sajibmannan
    @sajibmannan 2 ปีที่แล้ว

    Such a life-saving video!

    • @danielschaben
      @danielschaben  2 ปีที่แล้ว +1

      Well thank you. It has been a strange video. I remade it from comments that I received, but it remains incredibly popular for some reason. Thanks for the comment and I am so glad I was able to help you.

  • @maajidahmed8837
    @maajidahmed8837 7 ปีที่แล้ว +3

    That was really good video

  • @utamaputranto
    @utamaputranto 4 ปีที่แล้ว +1

    wow this is great stuff.. thanks for sharing this.. love from indonesia

  • @nishanthapa4226
    @nishanthapa4226 6 ปีที่แล้ว +1

    Thanks bro, it helped a lot

  • @prathameshmadankar9708
    @prathameshmadankar9708 7 ปีที่แล้ว +1

    Thanx a lot... It really helped me...

  • @natstanton252
    @natstanton252 7 ปีที่แล้ว +1

    this helps. thanks very much

  • @stockmarketanalysiswithbha3341
    @stockmarketanalysiswithbha3341 4 ปีที่แล้ว +1

    Thanks
    You clarified my confusions

  • @ray4493
    @ray4493 6 ปีที่แล้ว

    Thanks. Needed this.

  • @syn586
    @syn586 7 ปีที่แล้ว

    This video serves as a good revision of this topic.

  • @tianavi213
    @tianavi213 หลายเดือนก่อน

    Thanks a million!
    Even though I study Math in Arabic this video helped me to differentiate between Choose and Pick.

    • @danielschaben
      @danielschaben  หลายเดือนก่อน

      Glad it was helpful! The video in the discription is my remake of this video. It goes into more depth

  • @sangiprotector9022
    @sangiprotector9022 4 ปีที่แล้ว +1

    Thank you for the video! It helped 💗

  • @AGUYNAMED278
    @AGUYNAMED278 6 ปีที่แล้ว +3

    3:14 I did the permutation so 🤔 I guess this one must be combination. I like how you knew that

  • @lukerasmussen6110
    @lukerasmussen6110 6 ปีที่แล้ว +2

    Lifesaver 🔥🔥🔥

  • @fireflies15
    @fireflies15 5 ปีที่แล้ว +1

    This is great thank you

  • @rukhsanakousar9112
    @rukhsanakousar9112 7 ปีที่แล้ว +1

    helped a lot! thanks.

  • @qifanguo5549
    @qifanguo5549 7 ปีที่แล้ว +17

    damn thank you so much, i understand within the first two mins .
    your example is on point !

  • @hasanuwanihalagedara4901
    @hasanuwanihalagedara4901 5 ปีที่แล้ว +1

    Thank you so much!!!

  • @Jivanam_anubhavah.
    @Jivanam_anubhavah. 6 ปีที่แล้ว +2

    In some ques (not in ur videos) , its difficult to guess orders matters or not? then how would v know that its permutation que or combn que?

  • @expertiselegends5306
    @expertiselegends5306 2 ปีที่แล้ว +8

    A tip:
    If you're shortcutting anything in a tutorial or shorthanding something, make sure you explain why you took certain steps (purpose).

  • @archit7538
    @archit7538 4 ปีที่แล้ว

    Great help to my basics ... Thank you so much :)

  • @Ace-ob9lj
    @Ace-ob9lj 6 ปีที่แล้ว

    All correct thank you 4 the help!

  • @ck4786
    @ck4786 5 ปีที่แล้ว +1

    So helpful! Thank you!!!

  • @basitowolabi4523
    @basitowolabi4523 ปีที่แล้ว

    thanks so much it was helpful

  • @humzzatzz9786
    @humzzatzz9786 7 ปีที่แล้ว +22

    I still didn't get why you divided it by 6. You mentioned that we may have counted twice, but what's exactly the 'twice' thing ? Even though I tried it one by one and scrolled through people's explanation, I'd still scratch my head.

    • @rahulraveendran7200
      @rahulraveendran7200 5 ปีที่แล้ว +11

      in permutation/arrangement (20$,10$, 5$ example)order is important i.e it matters to whom we give the first second and third prizes. But the order is not important in combination/selection(same 5$ prize example). so when he took 10*9*8 , he has also counted 3! (or 6) additional possibilities i.e 1st 2nd and 3rd person getting the same 5$ prize . Lets say the prizes are A,B and C(permutation). these can be arranged 3! ways that is ABC,ACB,BAC,BCA,CAB and CBA. but if these are all the same prizes i.e AAA they can be arranged only 1 way(combination).

    • @zaidali9163
      @zaidali9163 5 ปีที่แล้ว +1

      @@rahulraveendran7200 Yeah, so basically he counted the 1st,2nd and 3rd prize twice so he divided it by 3! as there are three prizes and the order does not matter as the prizes are same.

    • @tdpencil2811
      @tdpencil2811 5 ปีที่แล้ว

      The answer is simple. 3*2*1 is 6 Dumbo

  • @xdeelo
    @xdeelo 2 ปีที่แล้ว

    Thank you so much 💕

  • @sabihahzainuddin6980
    @sabihahzainuddin6980 5 ปีที่แล้ว +1

    thank you so much!!

  • @a-starratie144
    @a-starratie144 7 ปีที่แล้ว +1

    thank you sir!

  • @sorabkumar5130
    @sorabkumar5130 7 ปีที่แล้ว +4

    you are super bro

  • @jesslynwijaya29
    @jesslynwijaya29 5 ปีที่แล้ว

    Thank you very much!!

  • @senyamax
    @senyamax 2 ปีที่แล้ว

    Thank you. You just made my day . Because I have test tomorrow.
    😘😘

    • @danielschaben
      @danielschaben  2 ปีที่แล้ว

      You're welcome. Glad I could help

  • @kashishahmad5818
    @kashishahmad5818 3 ปีที่แล้ว +1

    Finally, got it!!😭👍🏼

  • @_________________404
    @_________________404 4 ปีที่แล้ว

    In my country it's called a variation when K < N or K != N, and they only call it permutation when K = N. But I guess in America you just call the while thing permutation.

  • @sumiransubba3227
    @sumiransubba3227 2 ปีที่แล้ว

    Thank you so much this really cleared my doubt

  • @sasukeamine1
    @sasukeamine1 6 ปีที่แล้ว

    Is it (probabilistically) possible to do the last exercice if the question implied using permutations ?
    If yes, how can we do it?

  • @natalieroberts9921
    @natalieroberts9921 6 ปีที่แล้ว +5

    my final is literally tomorrow freaking BLESS this video just saved my life

    • @kishanmehta1102
      @kishanmehta1102 5 ปีที่แล้ว +1

      lmao. How did the Exam go?

    • @1polyron1
      @1polyron1 3 ปีที่แล้ว

      @@kishanmehta1102 she died

  • @motivationalchannel6954
    @motivationalchannel6954 5 ปีที่แล้ว +1

    Thank you sir

  • @sarashams-abadi5201
    @sarashams-abadi5201 5 ปีที่แล้ว +2

    great vid!!!!

  • @user-tp4mj8rl2f
    @user-tp4mj8rl2f 6 หลายเดือนก่อน

    جزاك الله خيرا ❤❤❤وشكرا جدا ع شرحك الذى لايوصف 😊

    • @danielschaben
      @danielschaben  5 หลายเดือนก่อน

      I hope God rewards me as well. Glad it was useful. God Bless.

  • @harrycarson11
    @harrycarson11 3 ปีที่แล้ว

    Really good video, thanks

    • @danielschaben
      @danielschaben  3 ปีที่แล้ว

      Your welcome. So glad I could help

  • @makakamir
    @makakamir 6 ปีที่แล้ว +2

    Great video. Btw, what software are you using for writing?

    • @danielschaben
      @danielschaben  6 ปีที่แล้ว +1

      UPSC SSC GURUKUL smart notebook

  • @Charles-F
    @Charles-F 4 ปีที่แล้ว +3

    I have been trying to find something about permutations thank you so much.

    • @danielschaben
      @danielschaben  3 ปีที่แล้ว

      glad I get help you. Sorry I am late replying

  • @sumaia4237
    @sumaia4237 6 ปีที่แล้ว +1

    Thank you

  • @rheafrancis9227
    @rheafrancis9227 6 ปีที่แล้ว

    Thank u so much.........'twas a great help

  • @ccf3195
    @ccf3195 5 ปีที่แล้ว +1

    Dude you helped so much

    • @wbaatz
      @wbaatz 5 ปีที่แล้ว

      Ro _ th-cam.com/video/fD-a_YFuYU0/w-d-xo.html
      You can watch it animated regarding permutations

  • @FREESIAFOCOL
    @FREESIAFOCOL 3 ปีที่แล้ว

    thank you for this video.

  • @rohan2628
    @rohan2628 4 ปีที่แล้ว +1

    Thanks good explanation.

  • @angge3958
    @angge3958 8 ปีที่แล้ว +1

    thank you!

  • @zacharyouano4421
    @zacharyouano4421 6 ปีที่แล้ว

    tnx man , Great Help !

  • @lazerbeam3000
    @lazerbeam3000 6 ปีที่แล้ว +2

    thanks

  • @edberaga6357
    @edberaga6357 4 ปีที่แล้ว

    THANKS man!! you help me a lot! this is why I love youtube than my lame college,,, becuz youtube has much more understanding and better education then my college lmao

    • @danielschaben
      @danielschaben  4 ปีที่แล้ว

      Your welcome. Glad I could help

  • @yasaminameer8124
    @yasaminameer8124 7 ปีที่แล้ว

    Great job

  • @user-ev6uw1yh8o
    @user-ev6uw1yh8o 4 ปีที่แล้ว +2

    you are the best

    • @danielschaben
      @danielschaben  4 ปีที่แล้ว

      I wish. Maybe youtube would buy me cars. Lol. But thanks

  • @Apisorn31
    @Apisorn31 3 ปีที่แล้ว +10

    Thank you! I’m trying to teach my students about this and it’s still hard for me to tell lol

    • @danielschaben
      @danielschaben  3 ปีที่แล้ว +2

      One of the most difficult topics in math in my opinion

    • @dbuc4671
      @dbuc4671 ปีที่แล้ว +1

      @@danielschaben thanks for relating lol its a relief for people

    • @DK-tv6rk
      @DK-tv6rk ปีที่แล้ว

      @@danielschaben This is harder than limits and derivatives

  • @jadegleyo8040
    @jadegleyo8040 6 ปีที่แล้ว +1

    thank you

  • @gilbert7764
    @gilbert7764 5 ปีที่แล้ว

    wow i understand so much

  • @yordanoskassahun225
    @yordanoskassahun225 ปีที่แล้ว

    I understand ur video ,i hope i get good results for tmorrow exam

  • @jaredohnona8487
    @jaredohnona8487 5 ปีที่แล้ว

    good shit. best video i found

  • @caitb8260
    @caitb8260 ปีที่แล้ว

    great video thank you!

  • @jeanvillete
    @jeanvillete 5 ปีที่แล้ว +2

    The first example could be a bit cleaner, cause the way it was expressed I could apply either permutation or combination, depending on the understand;
    In a group of 10 people, a $20, $10 and $5 prize will be given. How many ways can the prizes be distributed?
    In case I assume these three prizes are going to be distributed in a draw/lottery way, I would apply on it a combination (10 choose 3), but if it was said the context as a race for example, so I would understand it as an ordering thus applying the permutation (10 permute 3).

    • @danielschaben
      @danielschaben  5 ปีที่แล้ว +1

      I see that a race would make it clearer. In my mind I am seeing who gets each prize like a first second third. $20 is first, $10 is second, $5 is third. Actually when I made this video, I thought it would get 10 views a year.... not 1000s per day...... it is a strange video to be my most popular. I though my Permutation video and my combination video would be more popular. Both use cleaner examples with cleaner explanations.

  • @akshaykurve4055
    @akshaykurve4055 7 ปีที่แล้ว +2

    awesome video sir!!!
    keep it up.

  • @ksi4442
    @ksi4442 2 ปีที่แล้ว +1

    thank you man unfortunately my professor likes to make up questions that are 50 x harder than this :(

  • @OfFieldsAndMeadows
    @OfFieldsAndMeadows 3 ปีที่แล้ว

    I just had an Oooooh moment! Thanks so much!

    • @danielschaben
      @danielschaben  3 ปีที่แล้ว +1

      You're welcome and thanks for the comment.

  • @sportsvideos1429
    @sportsvideos1429 6 ปีที่แล้ว

    great sir

  • @biyaadane1650
    @biyaadane1650 6 ปีที่แล้ว

    THANK YOU