How to Use Permutations and Combinations

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  • Опубліковано 29 гру 2024

КОМЕНТАРІ • 292

  • @MariosMathTutoring
    @MariosMathTutoring  5 років тому +49

    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

  • @samiracambridge8930
    @samiracambridge8930 2 роки тому +14

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

  • @sarahkroeker9237
    @sarahkroeker9237 6 років тому +313

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

  • @BangMaster96
    @BangMaster96 3 роки тому +26

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

  • @Ali_azimi
    @Ali_azimi 3 роки тому +9

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

  • @vipers9695
    @vipers9695 6 років тому +50

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

  • @JT-od9hm
    @JT-od9hm 4 роки тому +24

    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

  • @annh.4860
    @annh.4860 4 роки тому +6

    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

  • @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!

  • @huihuang2431
    @huihuang2431 4 роки тому +28

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

  • @kanishkasharma6178
    @kanishkasharma6178 6 місяців 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!

  • @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.

  • @markeemark7472
    @markeemark7472 3 роки тому +4

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

  • @jedellelafuente6989
    @jedellelafuente6989 4 роки тому

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

  • @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!

  • @gracedell
    @gracedell 5 місяців тому

    thank you! i used this to study for my science ged and i ended up passing with 186! your explanation of the difference between combinations and permutations was the only explanation that clicked with me. thank you!

  • @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.

  • @user-fz1cj8rh6k
    @user-fz1cj8rh6k 2 роки тому +1

    Crystal clear explanation.

  • @jamiesuka813
    @jamiesuka813 6 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  6 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

  • @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.

  • @umarsiddiqui849
    @umarsiddiqui849 4 роки тому

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

  • @NforNatalie
    @NforNatalie 4 місяці тому

    Mario taught better than my GRE book. Thank you!

  • @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!

  • @mr.azeemakatheprofessional2498
    @mr.azeemakatheprofessional2498 6 років тому +11

    This channel needs salute 😉

  • @MemesYern
    @MemesYern 3 роки тому

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

  • @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 3 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!

  • @taibahnasser1222
    @taibahnasser1222 6 місяців тому

    THANK YOU SO MUCH!! this literally solved my problems

  • @a.gnailz
    @a.gnailz Рік тому

    My son needed help with this thank you 🙏🏽

  • @emmashah5551
    @emmashah5551 3 роки тому +2

    Nice video. I love you

  • @roycemilton8472
    @roycemilton8472 5 років тому +1

    IT FINALLY MAKES SENSE, WOO.

  • @sabakhan-qc9di
    @sabakhan-qc9di 7 місяців тому

    4:22 but when order is important dont we use permutation, which you did but in permutation add amd in combination we multiply? pls tell huge test on the way!

    • @MariosMathTutoring
      @MariosMathTutoring  7 місяців тому

      Permutations, Combinations & Probability (14 Word Problems)
      ua-cam.com/video/tnF9f3zCCKI/v-deo.html

  • @coolyt4567
    @coolyt4567 5 років тому

    Mario your teaching is very helpful eith understanding permutations

    • @MariosMathTutoring
      @MariosMathTutoring  5 років 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 :)

  • @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!!

  • @mondolawrancearmba
    @mondolawrancearmba Рік тому

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

  • @R_Kive
    @R_Kive 2 місяці тому

    thank you for this lolol the way you teach is amazing

  • @shifayasin2828
    @shifayasin2828 4 роки тому +1

    Helped a lot!

  • @batghost7665
    @batghost7665 4 місяці тому

    Thank you very much , it was very useful video.

  • @Lxy_YT
    @Lxy_YT 8 місяців тому +1

    Really helpful❤❤

  • @chasebaxter4143
    @chasebaxter4143 4 роки тому +1

    Great job sir, thank you.👍

  • @luluandleo4661
    @luluandleo4661 2 роки тому

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

  • @beans4392
    @beans4392 2 роки тому

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

  • @gerarddonovan4145
    @gerarddonovan4145 27 днів тому

    Very good and clear

  • @fawnmarie906
    @fawnmarie906 8 місяців тому +1

    This helped me

  • @springsummer3976
    @springsummer3976 5 років тому

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

  • @mimie537
    @mimie537 Рік тому

    Great video, well explained thank you!

  • @Mech__bhupendra
    @Mech__bhupendra 4 роки тому

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

  • @AjayKumar-dk8sf
    @AjayKumar-dk8sf 5 років тому

    Amazing Video! Permutations and Combinations just got so much easier

  • @jamplayz260
    @jamplayz260 2 роки тому

    This has helped me and I'm subbing.🔥

  • @risegiy5647
    @risegiy5647 Рік тому

    really good explanation

  • @himanshusingh-er7dd
    @himanshusingh-er7dd 3 роки тому +1

    Thankyou sir !!!!

  • @christinamcgough2272
    @christinamcgough2272 3 роки тому +1

    the second question is 10 x 19 not 10 x 9. right?

  • @balageodusty1101
    @balageodusty1101 5 років тому +1

    it was helpful sir. thank you so much.

  • @alifiskandar85
    @alifiskandar85 4 роки тому

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

  • @Salmansouriii
    @Salmansouriii 2 роки тому

    Sir in min 6:03 how did you get the 10 to count 20 ten times?

  • @conniecabasan3739
    @conniecabasan3739 5 років тому +1

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

  • @kirarainrain
    @kirarainrain 5 років тому +1

    Hi can you help me with this question? The question is: In how many ways can the letters of the word "EXCELLENCE" be arranged if (i) the four E's are not all together, (ii) the four E's are all seperated?

    • @DuffyWybieBigReputation
      @DuffyWybieBigReputation 5 років тому +1

      Germaine Loi I think for (i) you meant together? If you did I think you would treat the E’s as one unit so it would be 7 groups instead of 10 therefore it’s 7!
      For (ii) if they must stay separate then you would take 10! Which are the total possible combinations and subtract 7! Which represent the ways E can be placed together
      I’m not sure if this is 100 percent correct but this is how my teacher showed using class :)

  • @jordanadkins4362
    @jordanadkins4362 4 роки тому

    Good teacher!

    • @jordanadkins4362
      @jordanadkins4362 4 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.

  • @gnidnoeled786
    @gnidnoeled786 2 роки тому

    What about if we are required to have an order like 3 letters with 4 numbers let's say they're vehicle plate numbers? Example : ABC 1234, BBC 3781, DDD 4461, FFF 5555, etc? How many ways we can have that format from 26 letters and 10 numbers? Condition 1: Letters and numbers may be repeated, Condition 2 : Letters and numbers may not be repeated as shown in those examples. Thank you in advance for the reply.

  • @BobLovesApplepie
    @BobLovesApplepie 3 роки тому

    Great explanation! Keep it up

  • @sc00badive
    @sc00badive 3 роки тому

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

  • @hillsthetwin
    @hillsthetwin 5 років 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.

  • @ravitiwari6335
    @ravitiwari6335 4 роки тому

    love from india, Thanks for clearing concept. sir

  • @shokhrukhmirzaev758
    @shokhrukhmirzaev758 5 років тому

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

  • @DrWeselcouch
    @DrWeselcouch 4 роки тому

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

  • @alexiskayla3775
    @alexiskayla3775 4 роки тому

    Thanks you so much🙏🏾🙏🏾🙏🏾🙏🏾

  • @richardness3537
    @richardness3537 2 роки тому

    Hi Mario
    Perhaps you may be anle to help me with a combinations problem I am trying to solve. I am not having success.
    I have a group of 10 numbers. The combinations of 3 of those 10 numbers is 120. The combinations of 3 from 5 numbers is 10. My theory is that if I take 12 groups of 5 numbers from my 10 numbers then I should be able to contain all 3 number combinations of my original group of 10 numbers in thses 12 groups of 5. Can you help.
    I have been successful with similiar. I have 30 groups of 5 numbers that contain all combinations of 2 numbers from 25. I have also been able to get 14 groups of 4 to contain all the 3 number combinations of 8 numbers.
    I just cannot get any progress on my 10 number problem. I would really appreciate any guidance or a solution.

  • @eberperez954
    @eberperez954 Рік тому

    This is one of my Edpuzzle

  • @andrewnusroot2754
    @andrewnusroot2754 3 роки тому

    If I have 6 books, all of which are about different subjects, but 3 are RED and 3 are BLACK. How do I decide which permutation to use if I want to deduce the probability of a red or black being the next colour to come out. I ask this question in relation to Roulette, where you can bet on either red or black, knowing that the colours are only one attribute of the individually numbered possibilities.

  • @shahnawajalam7401
    @shahnawajalam7401 6 років тому +44

    sir... your teaching method is awesome, but in the last question it is 50!/47! , but by mistake you wrote 50!/47! 3! which is incorrect... please correct it... jai hind

    • @MariosMathTutoring
      @MariosMathTutoring  6 років тому +34

      Shahnawaj, good catch! You are absolutely correct! Glad you are enjoying my videos.

    • @TheeDevasya
      @TheeDevasya 6 років тому +1

      can you please add the correction to video annotation. i spent quite some time thinking why is there 3! at the end. :P

    • @walnutgroveowners1361
      @walnutgroveowners1361 6 років тому +4

      @@MariosMathTutoring I also am loving these, but the video cut off before you finished the last problem.

    • @MariosMathTutoring
      @MariosMathTutoring  6 років тому +1

      Permutations Combinations Factorials & Probability ua-cam.com/video/TBnPkKxXPu8/v-deo.html this is another video on the topic I did you may like

    • @hillsthetwin
      @hillsthetwin 5 років тому

      @@walnutgroveowners1361 yes.

  • @trevorscott3275
    @trevorscott3275 5 років тому +2

    This helped, thank you.

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому +1

      Glad my permutation and combination video helped you Trevor!

  • @longdeadchannel8311
    @longdeadchannel8311 4 роки тому

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

  • @luisluiscunha
    @luisluiscunha 5 років тому +1

    Excellent: thank you very much. Nicely explained.

  • @sonia-or3io
    @sonia-or3io 6 років тому +2

    YOU ARE AMAZING!

  • @beaubeaudette
    @beaubeaudette 2 роки тому

    Thank you kind sir

  • @josephpark1578
    @josephpark1578 5 років тому +1

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

  • @권금순-q4n
    @권금순-q4n 4 роки тому

    Thank you for helping me a lot

  • @meatman9103
    @meatman9103 4 роки тому

    Thank you so much this helped a lot

  • @eeliylilehto3195
    @eeliylilehto3195 4 роки тому

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

  • @csabaszekely3098
    @csabaszekely3098 Рік тому +1

    That is a repetitive Variation and not repetitive combination formula! the right formula is N!/(R1!*R2!*...*Rn!) where Rn is the element that is repeated by Rn times, N is the total number of elements and n is the index of the element that is repeating.

  • @syedrizvi2687
    @syedrizvi2687 3 роки тому

    Thank you so much!

  • @michaelphillips593
    @michaelphillips593 4 роки тому

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

  • @kamrulhassan7157
    @kamrulhassan7157 6 років тому

    Nice explanations. Thanks a lot.

  • @MeMe-wc9qv
    @MeMe-wc9qv 3 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

  • @tundasoreem9261
    @tundasoreem9261 3 роки тому

    Thank you

  • @basselkordy8223
    @basselkordy8223 6 років тому +1

    Thank you very much sir i really appreciate your efforts

  • @syd148
    @syd148 2 роки тому

    thank you so much

  • @CE_SauravKumar
    @CE_SauravKumar 6 років тому

    Very informative video , thanks

  • @rice4830
    @rice4830 2 місяці тому

    thanks

  • @trekwithwicky
    @trekwithwicky 5 років тому

    Its soo helpful, Tyvm!! Can u pls tell what does it mean if they've mentioned "replacement allowed" or "replacement not allowed"? and how to solve it?

    • @MariosMathTutoring
      @MariosMathTutoring  5 років тому +1

      If replacement is allowed then the events are independent and the probabilities will remain the same however if it is without replacement the probabilities will change because there are less items to choose from.

  • @hopecabs3046
    @hopecabs3046 4 роки тому

    How to solve like this
    how many numbers between 1/4 and 1/2 can be displayed on an 8 digit calculator

  • @valeriee8211
    @valeriee8211 6 років тому +1

    Can somebody help me out? So there was this one question and it said someone is only able to choose on option of each cones cakes and cookies and each of the three had different types of cones, cakes and cookies and the questions is how many combination can you make of each? So do I use this same formula as the video or what do I do HELP PlS

    • @MariosMathTutoring
      @MariosMathTutoring  6 років тому

      Valeriee...from what it sounds like you are talking about us the fundamental counting principle aka the multiplication counting principle ....I talk a little bit about it in this video here ...hope this helps
      Permutations Combinations Factorials & Probability ua-cam.com/video/TBnPkKxXPu8/v-deo.html

  • @gnicollanos
    @gnicollanos 4 роки тому

    Very helpful!

  • @tiffinsuresh860
    @tiffinsuresh860 4 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

  • @tanveer.mt295
    @tanveer.mt295 5 років тому +1

    Thank you so much sir.

  • @hayatashiru9859
    @hayatashiru9859 5 років тому

    Very helpful ! thank you

  • @ayazelahimullick2431
    @ayazelahimullick2431 2 роки тому

    You LEGEND!!

  • @haze2049
    @haze2049 3 роки тому

    Thank you mah friend

  • @varshinivijay2703
    @varshinivijay2703 4 роки тому

    thanks so so so much

  • @lostcaused
    @lostcaused 4 роки тому

    What happens when your r and n are the same for either combinations and permutations?