Permutations with Repetition | Combinatorics, Permutations and Combinations

[@martyjehovah]

I was curious about how many sets of 3 colors were possible from a pool of 16 colors, so i went to google to find out how to calculate it, and then i spent 5 minutes learning about the difference between "combination" and "permutation". Then, after another 10 minutes, I was even more confused than when I started out, because I couldn't make the formula make sense. Then by sheer luck I realized the formula was so complex (to me) because it wasn't allowing for repetition and so it wasn't even the answer I was looking for, but when I saw the formula for permutation with repetion it didn't really make logical sense to me either. I was about to give up on being able to actually learn how to answer this sort of question on my own, when I found your video! Your break down of what the formula was actually doing and your summary that "the total number of possibilities is the collection size to the power of the number of objects we're ordering" was perfectly plainly stated. You turned something confusing that I'd only be able to use by memorization or looking it up every time, into something that is just an obvious logical process that I will remember both how to use it, and WHY it works forever. Thank you! I can't wait to find out what else I can learn from you.

[@ShukronaUmerova]

I didn't understand this topic, I learned it after your video and it was very helpful! Thank you very much! Good luck!

[@WrathofMath]

Glad to help - thanks for watching!

[@deepaksarvepalli2344]

Today feeling so happy becoz of ur Video, why because permutations with repetition is what u said is awesome but others make people confuse by saying the example u mention.....

[@KaidenPvP15]

6:20 Here is the answer There are 8,031,810,176 ways to make a 7 letter password with permutation with repetition (26^7)

[@RelixAMV]

Would't it be 26^7?

[@KaidenPvP15]

@@RelixAMV typo

[@darkest9283]

Wouldn't 26 be multiplied by 2 as capital and lowercase letter are allowed

[@Yang_TK]

This saved me, thank you very much 🙏🙏🙏

[@alanfinck5595]

so what exactly is the "assassin" example called? permutation with already existing repetition?

[@stanleytaylor6484]

If 26 letters are used for a 7-word password and repetitions are allowed, then the number of passwords is 26^7 (26 multiplied by itself 7 times). This is about 8 billion possible passwords. If both capitals and lowercase letters are allowed, the answer is 52^7, or about 1 trillion. I would go for both uppercase and lowercase letters when creating such a password.

[@cellsubs6352]

Thank you for this video! I have a question about the permutation with repetition. Here is the question: There are 3 pigeon holes marked A, B, C. In how many ways can I arrange 10 different postcards so that 5 of them are in A, 3 in B and 2 in C? For this question, should I divide 10! by (5! 3! 2!)?

[@conversation2581]

I think for this problem you would also have to consider the rule of sum, while you are on the right path youre missing a +. the equation goes something like this # = (5!) + (3!) + (2!). Correct me if im wrong.

[@malikibetche1041]

May God bless you, you helped me a lot !!!

[@AubreeGames]

Thank you. Very helpful and nice video

[@trickdigger5744]

Thanks for the nice class. Great work sir.

[@WrathofMath]

My pleasure, thanks for watching!

[@smoothyshort]

3,315,312,000 am i correct? 6:15

[@deepaksarvepalli2344]

U r awesome with min subscibers.... Wish you all the best

[@WrathofMath]

Thanks a lot for watching and for your kind words! Wishing you the best as well! :)

[@smoothyshort]

10 is two digits right?

[@alx9r]

There are 10 1-digit numbers in base-10.

[@Ghost_Cube]

Giga Chad KZbinr, finding the best way to write ass twice

[@WrathofMath]

I was recently talking about assessing normality in my AP Stats class. I began writing the topic, and unwittingly paused at "Assess" to share some important point that had come to me. Shortly after, the uncontrollable giggles lead me to discover my error.

[@ribalolz]

very helpful.

[@WrathofMath]

Awesome, thanks for watching!

[@victornimi1377]

I subscribe cuz of this

[@manifestoxx866]

Legend

[@KirubelZewdu-vm3rj]

26^7

[@AubreeGames]

I like your voice

[@WrathofMath]

Thank you! Glad it helped!

[@salton9903]

ez. multiply 26 seven times ☺☺😂😂😂😂☺☺☺☺🤑🤑😎😎😎😎😎😎

[@sameerahmad430]

You had make a mistake buddy

[@akatsuki_31gaming80]

Arigatoo

[@WrathofMath]

I don't know what that means, but thanks for watching!

[@RelixAMV]

@@WrathofMath It's thanks in japanese but he misspelt it lol. It's Arigatou if he's stretching it