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How to Use Permutations and Combinations 

Mario's Math Tutoring
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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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15 мар 2016

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Комментарии : 277   
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Like this video but want more examples? Check out this video I did covering Permutations, Combinations, as well as Factorials here: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-TBnPkKxXPu8.html
@anjaneysunilkumar333
@anjaneysunilkumar333 2 года назад
Sir the last ones answer is it 19600
@a77ackeranimations20
@a77ackeranimations20 2 года назад
@@anjaneysunilkumar333 I got 117600
@liamwang2027
@liamwang2027 Год назад
@@a77ackeranimations20 i got that too
@AJJJ-co2vd
@AJJJ-co2vd 5 месяцев назад
How can use this to improve my chances in roulette?
@sarahkroeker9237
@sarahkroeker9237 6 лет назад
somehow its 2 am again and here i am trying to study for tmrs test, eating a jar of pickles
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Good luck on your test!
@vise9150
@vise9150 4 года назад
bruh
@theirelandidiot
@theirelandidiot 4 года назад
did you pass?
@minecrufthi3405
@minecrufthi3405 3 года назад
@@theirelandidiot YA SHE DID
@theirelandidiot
@theirelandidiot 3 года назад
@@minecrufthi3405 Noice, I passed my tests too.
@samiracambridge8930
@samiracambridge8930 2 года назад
I've found someone who teaches using simplified words and a step-by-step, PATIENT, method! Thank you kindly!
@BangMaster96
@BangMaster96 3 года назад
Thank You. I like it when Math is explained straight forward and is self-explanatory.
@Ali_azimi
@Ali_azimi 3 года назад
I love how simply you explain it, and how easily I understand you!!! You're the best teacher!
@JT-od9hm
@JT-od9hm 3 года назад
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
@gracedell
@gracedell День назад
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!
@MariosMathTutoring
@MariosMathTutoring День назад
Awesome! Glad my video helped you!
@vipers9695
@vipers9695 6 лет назад
THE MAN, THE MYTH, THE LEGEND!!!!
@stranger5312
@stranger5312 5 лет назад
Kratos
@landencokorol6438
@landencokorol6438 3 года назад
THE MAN, THE MATH, THE LEGEND
@annh.4860
@annh.4860 4 года назад
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 года назад
You’re welcome Ann! If you need more help check out this other video I did here: Permutations Combinations Factorials & Probability ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-TBnPkKxXPu8.html
@fuadnadi8578
@fuadnadi8578 3 года назад
Man... Thank you thank you thank u!!! I hope youtube pays you way way more cause you deserve it!
@markeemark7472
@markeemark7472 3 года назад
Dude I've watched a few of your videos now and your very good at explaining things 👌
@nickelahmcdowell5492
@nickelahmcdowell5492 5 лет назад
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 лет назад
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.
@jedellelafuente6989
@jedellelafuente6989 3 года назад
U r a savior- u explain very throughly and i wish more teachers taught like this
@umarsiddiqui849
@umarsiddiqui849 3 года назад
Love you sir , I was trying hard on RU-vid to understand this P and C...but your explanations was awesome.
@huihuang2431
@huihuang2431 3 года назад
Most people: got exams me: just got homework and is vibing during this 😂
@brianw.2791
@brianw.2791 3 года назад
bro you a funny man
@janina5518
@janina5518 6 лет назад
Thank you, helped a lot! I had trouble seeing the difference between permutation and combination, but you made it clear.
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Glad my video helped you Janina!
@MemesYern
@MemesYern 3 года назад
200th comment and a new subscriber here from Philippines. This video helped me a lot. ❤️ Thank you!
@user-fz1cj8rh6k
@user-fz1cj8rh6k Год назад
Crystal clear explanation.
@m_elanyy
@m_elanyy Год назад
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!
@virginiaw8608
@virginiaw8608 2 года назад
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.
@kanishkasharma6178
@kanishkasharma6178 Месяц назад
You're a great teacher. Many people teach maths but not all are good teachers. You're doing a good job. Keep it up!
@MariosMathTutoring
@MariosMathTutoring Месяц назад
Thank you! 😃
@chasebaxter4143
@chasebaxter4143 3 года назад
Great job sir, thank you.👍
@mikef9677
@mikef9677 6 лет назад
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 лет назад
Your welcome Mike. Glad my video helped you.
@mikef9677
@mikef9677 6 лет назад
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 года назад
@@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!
@DrWeselcouch
@DrWeselcouch 3 года назад
This is a great video! Short, sweet, and to the point!
@MariosMathTutoring
@MariosMathTutoring 3 года назад
Glad you liked the video!
@shifayasin2828
@shifayasin2828 3 года назад
Helped a lot!
@taibahnasser1222
@taibahnasser1222 24 дня назад
THANK YOU SO MUCH!! this literally solved my problems
@BobLovesApplepie
@BobLovesApplepie 2 года назад
Great explanation! Keep it up
@jamiesuka813
@jamiesuka813 5 лет назад
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 лет назад
Glad you liked the video Jamie! Here is a more recent one I did if you want more examples: Permutations Combinations Factorials & Probability ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-TBnPkKxXPu8.html
@rajtiwari00
@rajtiwari00 2 года назад
love you sir i get a new mindset to understand the question
@AjayKumar-dk8sf
@AjayKumar-dk8sf 5 лет назад
Amazing Video! Permutations and Combinations just got so much easier
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad my video helped you Ajay!
@beans4392
@beans4392 Год назад
Thank you so much bro, finally understand this concept :)
@Mech__bhupendra
@Mech__bhupendra 3 года назад
Amazing video❤️❤️❤️ it help me a lot!!!
@longdeadchannel8311
@longdeadchannel8311 4 года назад
Thanks for this video, very easy to understand! Subscribed.
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome! And welcome to the channel!
@jamplayz260
@jamplayz260 2 года назад
This has helped me and I'm subbing.🔥
@luisluiscunha
@luisluiscunha 5 лет назад
Excellent: thank you very much. Nicely explained.
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Luis! Glad you liked the video!
@meatman9103
@meatman9103 3 года назад
Thank you so much this helped a lot
@trevorscott3275
@trevorscott3275 4 года назад
This helped, thank you.
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my permutation and combination video helped you Trevor!
@shokhrukhmirzaev758
@shokhrukhmirzaev758 4 года назад
Your videos are so helpful, wish all the best. Respect
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my videos are helping you Shohrux!
@eeliylilehto3195
@eeliylilehto3195 4 года назад
Such a great video! saved me so much time. GOLD
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my video helped you Eeli!
@mutahir2002
@mutahir2002 6 лет назад
When some guy on RU-vid is a better teacher than your own... hehe, good job. Helped a lot for my final :)
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Glad my video helped you!
@luluandleo4661
@luluandleo4661 Год назад
man this was so helpful..thanku sir...
@roycemilton8472
@roycemilton8472 4 года назад
IT FINALLY MAKES SENSE, WOO.
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my permutation Video helped you Royce!
@gnicollanos
@gnicollanos 3 года назад
Very helpful!
@mimie537
@mimie537 11 месяцев назад
Great video, well explained thank you!
@MariosMathTutoring
@MariosMathTutoring 11 месяцев назад
Glad it was helpful!
@syedrizvi2687
@syedrizvi2687 2 года назад
Thank you so much!
@sonia-or3io
@sonia-or3io 5 лет назад
YOU ARE AMAZING!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad you like my videos!
@alifiskandar85
@alifiskandar85 4 года назад
Tq @Mario Math Tutoring ,You ease my basic concept💪
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my videos are helping you Alif!
@kamrulhassan7157
@kamrulhassan7157 6 лет назад
Nice explanations. Thanks a lot.
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
You’re welcome Kamrul!
@amruthaanshuman3071
@amruthaanshuman3071 3 года назад
Thank you!
@samehayman3371
@samehayman3371 4 года назад
Much love for ur help ❤️
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my video helped you Sameh!
@a.gnailz
@a.gnailz Год назад
My son needed help with this thank you 🙏🏽
@balageodusty1101
@balageodusty1101 4 года назад
it was helpful sir. thank you so much.
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome! Glad my permutation Video helped you!
@mr.azeemakatheprofessional2498
This channel needs salute 😉
@minecrufthi3405
@minecrufthi3405 3 года назад
YES IT DOES
@fawnmarie906
@fawnmarie906 3 месяца назад
This helped me
@lewiduressa
@lewiduressa 6 лет назад
Helpful video! It helped me.
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Awesome! I’m glad the video helped you!
@michaelphillips593
@michaelphillips593 4 года назад
you are a beast mario thanks for helping me in stats!
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome! Glad my video helped you Michael!
@CE_SauravKumar
@CE_SauravKumar 5 лет назад
Very informative video , thanks
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad the video helped you Saurav!
@mondolawrancearmba
@mondolawrancearmba 9 месяцев назад
Excellent explaination awalys... Please I really need some of calculus explaination... Hope to hear from you... thanks 👍
@brizie03
@brizie03 5 лет назад
thank you for this!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome brizie03!
@beaubeaudette
@beaubeaudette Год назад
Thank you kind sir
@basselkordy8223
@basselkordy8223 6 лет назад
Thank you very much sir i really appreciate your efforts
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome!
@chinesename1171
@chinesename1171 Год назад
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!!
@MariosMathTutoring
@MariosMathTutoring Год назад
Glad I could help!
@syd148
@syd148 Год назад
thank you so much
@himanshusingh-er7dd
@himanshusingh-er7dd 2 года назад
Thankyou sir !!!!
@alexiskayla3775
@alexiskayla3775 3 года назад
Thanks you so much🙏🏾🙏🏾🙏🏾🙏🏾
@josephpark1578
@josephpark1578 5 лет назад
Thank you so much for helping me understand how to do this.
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Joseph! Glad my video helped you!
@chris-p-bacon1053
@chris-p-bacon1053 5 лет назад
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 лет назад
You’re welcome Pitak! Glad to hear my videos have been helping you!
@BS37L
@BS37L 5 лет назад
Thank u , u helped me a lot :)) ❤️
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad my video helped you!
@hayatashiru9859
@hayatashiru9859 4 года назад
Very helpful ! thank you
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome! Glad my video helped you!
@haze2049
@haze2049 3 года назад
Thank you mah friend
@priyanshmishra5223
@priyanshmishra5223 6 лет назад
Thanks alot you made it very clear sir
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome! Glad my video helped you!
@user-ir7yz1dx7u
@user-ir7yz1dx7u 4 года назад
Thank you for helping me a lot
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome!
@basic3837
@basic3837 5 лет назад
Thank you so much sir.
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Malik!
@tundasoreem9261
@tundasoreem9261 3 года назад
Thank you
@asadkhalid8840
@asadkhalid8840 5 лет назад
Great.
@emmashah5551
@emmashah5551 2 года назад
Nice video. I love you
@Lxy_YT
@Lxy_YT 3 месяца назад
Really helpful❤❤
@MariosMathTutoring
@MariosMathTutoring 3 месяца назад
Glad it was helpful!
@dhineshsattia7361
@dhineshsattia7361 5 лет назад
Thank you Sir, this helped me to understand the difference between npr and ncr .
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Dhinesh!
@remy2058
@remy2058 5 лет назад
Really helpful thanks
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome! Glad my video helped you!
@risegiy5647
@risegiy5647 Год назад
really good explanation
@MariosMathTutoring
@MariosMathTutoring Год назад
Glad it was helpful!
@coolyt4567
@coolyt4567 4 года назад
Mario your teaching is very helpful eith understanding permutations
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my video helped you understand permutations better!
@ayazelahimullick2431
@ayazelahimullick2431 2 года назад
You LEGEND!!
@jordanadkins4362
@jordanadkins4362 3 года назад
Good teacher!
@jordanadkins4362
@jordanadkins4362 3 года назад
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.
@varshinivijay2703
@varshinivijay2703 4 года назад
thanks so so so much
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome Varshini!
@catherinecarrasco4522
@catherinecarrasco4522 4 года назад
Thanks !
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome Catherine!
@ravitiwari6335
@ravitiwari6335 4 года назад
love from india, Thanks for clearing concept. sir
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome Ravi!
@springsummer3976
@springsummer3976 4 года назад
Thank you sir. Your explanation is better than my teacher's :p
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad you like my explanations!
@hillsthetwin
@hillsthetwin 4 года назад
This was extremely helpful. I am in Year 8, and we are learning this in school. I think this will help me alot.
@kersh2550
@kersh2550 6 лет назад
Thanks for clear my prblm
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome Kersh!
@conniecabasan3739
@conniecabasan3739 4 года назад
I understand your point😁😁😁 I’m studying for my exam tom and I subscribed.
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Welcome to the channel! Good luck on your exam!
@conniecabasan3739
@conniecabasan3739 4 года назад
Mario's Math Tutoring Thank you
@vedikakamane1768
@vedikakamane1768 5 лет назад
Tysm
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome
@eberperez954
@eberperez954 Год назад
This is one of my Edpuzzle
@tiffinsuresh860
@tiffinsuresh860 3 года назад
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
@rohanroy9329
@rohanroy9329 6 лет назад
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?
@kumaranand5853
@kumaranand5853 5 лет назад
Sir bahut achha padhaye
@NowBytez
@NowBytez 4 года назад
niice vid it helps me
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad you liked the video!
@lostfan5054
@lostfan5054 Год назад
Heck yes
@vise9150
@vise9150 4 года назад
nice video
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad you liked the video Jashan!
@vise9150
@vise9150 4 года назад
@@MariosMathTutoring you are very welcome
@sc00badive
@sc00badive 2 года назад
Excellent video, I totally get it now, but it cuts off at the end.
@GR-su3xc
@GR-su3xc 6 лет назад
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 лет назад
Thanks Giovanni. Glad to know I’m making a difference to some people out there.
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