How to Use Permutations and Combinations
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- เผยแพร่เมื่อ 15 มี.ค. 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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Like this video but want more examples? Check out this video I did covering Permutations, Combinations, as well as Factorials here: th-cam.com/video/TBnPkKxXPu8/w-d-xo.html
Sir the last ones answer is it 19600
@@anjaneysunilkumar333 I got 117600
@@a77ackeranimations20 i got that too
How can use this to improve my chances in roulette?
somehow its 2 am again and here i am trying to study for tmrs test, eating a jar of pickles
Good luck on your test!
bruh
did you pass?
@@theirelandidiot YA SHE DID
@@minecrufthi3405 Noice, I passed my tests too.
I've found someone who teaches using simplified words and a step-by-step, PATIENT, method! Thank you kindly!
Thank You. I like it when Math is explained straight forward and is self-explanatory.
I love how simply you explain it, and how easily I understand you!!! You're the best teacher!
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
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.
You’re welcome Ann! If you need more help check out this other video I did here: Permutations Combinations Factorials & Probability th-cam.com/video/TBnPkKxXPu8/w-d-xo.html
Man... Thank you thank you thank u!!! I hope youtube pays you way way more cause you deserve it!
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! ☺️
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.
Dude I've watched a few of your videos now and your very good at explaining things 👌
You're a great teacher. Many people teach maths but not all are good teachers. You're doing a good job. Keep it up!
Thank you! 😃
U r a savior- u explain very throughly and i wish more teachers taught like this
THE MAN, THE MYTH, THE LEGEND!!!!
Kratos
THE MAN, THE MATH, THE LEGEND
Love you sir , I was trying hard on TH-cam to understand this P and C...but your explanations was awesome.
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!
200th comment and a new subscriber here from Philippines. This video helped me a lot. ❤️ Thank you!
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.
Most people: got exams me: just got homework and is vibing during this 😂
bro you a funny man
Crystal clear explanation.
Thank you, helped a lot! I had trouble seeing the difference between permutation and combination, but you made it clear.
Glad my video helped you Janina!
This is a great video! Short, sweet, and to the point!
Glad you liked the video!
love you sir i get a new mindset to understand the question
THANK YOU SO MUCH!! this literally solved my problems
Amazing Video! Permutations and Combinations just got so much easier
Glad my video helped you Ajay!
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
Glad you liked the video Jamie! Here is a more recent one I did if you want more examples:
Permutations Combinations Factorials & Probability th-cam.com/video/TBnPkKxXPu8/w-d-xo.html
Great job sir, thank you.👍
My son needed help with this thank you 🙏🏽
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
Your welcome Mike. Glad my video helped you.
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
@@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!
Thank you so much bro, finally understand this concept :)
This has helped me and I'm subbing.🔥
Your videos are so helpful, wish all the best. Respect
Glad my videos are helping you Shohrux!
Great explanation! Keep it up
Amazing video❤️❤️❤️ it help me a lot!!!
Helped a lot!
Thanks for this video, very easy to understand! Subscribed.
You’re welcome! And welcome to the channel!
Such a great video! saved me so much time. GOLD
Glad my video helped you Eeli!
When some guy on TH-cam is a better teacher than your own... hehe, good job. Helped a lot for my final :)
Glad my video helped you!
Thank you so much this helped a lot
Excellent: thank you very much. Nicely explained.
You’re welcome Luis! Glad you liked the video!
Tq @Mario Math Tutoring ,You ease my basic concept💪
Glad my videos are helping you Alif!
man this was so helpful..thanku sir...
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!!
Glad I could help!
Excellent explaination awalys... Please I really need some of calculus explaination... Hope to hear from you... thanks 👍
This was extremely helpful. I am in Year 8, and we are learning this in school. I think this will help me alot.
Great video, well explained thank you!
Glad it was helpful!
Mario your teaching is very helpful eith understanding permutations
Glad my video helped you understand permutations better!
you are a beast mario thanks for helping me in stats!
You’re welcome! Glad my video helped you Michael!
Nice explanations. Thanks a lot.
You’re welcome Kamrul!
Very helpful!
This helped, thank you.
Glad my permutation and combination video helped you Trevor!
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.
You’re welcome Pitak! Glad to hear my videos have been helping you!
it was helpful sir. thank you so much.
You’re welcome! Glad my permutation Video helped you!
Thanks you so much🙏🏾🙏🏾🙏🏾🙏🏾
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?
Thank you so much!
Thank you kind sir
This helped me
thank you so much
Nice video. I love you
Thank you very much sir i really appreciate your efforts
Your welcome!
Thank you so much for helping me understand how to do this.
You’re welcome Joseph! Glad my video helped you!
This channel needs salute 😉
YES IT DOES
Helpful video! It helped me.
Awesome! I’m glad the video helped you!
YOU ARE AMAZING!
Glad you like my videos!
Thank you!
Very informative video , thanks
Glad the video helped you Saurav!
IT FINALLY MAKES SENSE, WOO.
Glad my permutation Video helped you Royce!
Thank you Sir, this helped me to understand the difference between npr and ncr .
You’re welcome Dhinesh!
Thank you
Thank you for helping me a lot
You’re welcome!
Thanks alot you made it very clear sir
Your welcome! Glad my video helped you!
Much love for ur help ❤️
Glad my video helped you Sameh!
Thankyou sir !!!!
Thank you mah friend
You LEGEND!!
Very helpful ! thank you
You’re welcome! Glad my video helped you!
Thank u , u helped me a lot :)) ❤️
Glad my video helped you!
Thank you sir. Your explanation is better than my teacher's :p
Glad you like my explanations!
love from india, Thanks for clearing concept. sir
You’re welcome Ravi!
thank you for this!
You’re welcome brizie03!
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.
Really helpful❤❤
Glad it was helpful!
What happens when your r and n are the same for either combinations and permutations?
really good explanation
Glad it was helpful!
Great.
This is one of my Edpuzzle
Thank you so much sir.
You’re welcome Malik!
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.
Excellent video, I totally get it now, but it cuts off at the end.
Good teacher!
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.
Really helpful thanks
You’re welcome! Glad my video helped you!
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?
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.
I understand your point😁😁😁
I’m studying for my exam tom and I subscribed.
Welcome to the channel! Good luck on your exam!
Mario's Math Tutoring Thank you
thanks so so so much
You’re welcome Varshini!
How would you find the % of rolling any number of 6s out of 36 dice?
Say I wanted the % of 6 6s out of 36 rolls, do I need standard deviation?
DoHerHarder you’d use binomial distribution wouldn’t you?
How to solve like this
how many numbers between 1/4 and 1/2 can be displayed on an 8 digit calculator
Enjoyed teaching method. First time subscribing, what does this mean?
Being a subscriber just means that you will be notified when I upload any new videos( which is usually for me about 1 or 2 a week) you can turn the notifications off if it becomes annoying. Most people subscribe to channels that they want to stay up to date with, or bookmark so they can return to...nice to have you as a subscriber...Lots more videos like this one on my channel Mario’s Math Tutoring.
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
Heck yes
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
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 th-cam.com/video/TBnPkKxXPu8/w-d-xo.html