/sci/ - Science & Math

[Anonymous No.7027094]

Hey /sci/, my mind is fried at the moment, but I've been trying to figure this out for quite a while now:

In how many different ways can I order the set {1 2 3 1 2 3}, or the set {1 1 1 2 2 2}? Is there a generalization for this?

I know that I can order a set with n elements in n! different ways, but I can't figure out how to do it when the set contains a multiple amount of each element.

[Anonymous No.7027098]

>>7027094
permutations and combinations
http://www.mathsisfun.com/combinatorics/combinations-permutations.html

[Anonymous No.7027102]

>>7027094
{1 2 3 1 2 3} in 6!/(2! * 2! * 2!) ways.

{1 1 1 2 2 2} in 6!/(3! * 3!) ways.

[Anonymous No.7027115]

>>7027094
>In how many different ways can I order the set {1 2 3 1 2 3}, or the set {1 1 1 2 2 2}? Is there a generalization for this?

6!/2!/2!/2! and 6!/3!/3!

[Anonymous No.7027123]

>>7027094
You have to be 18 to use 4chan, kid. Permutations and combinations are taught in early high school.

[Anonymous No.7027167]

>>7027123
>tfw 21
>started learning about combinatorics only very recently

I'll show myself out.

[Anonymous No.7027172]

>>7027123
no they aren't

[Anonymous No.7027218]

I learned about permutations and combinations in like 5th grade :S

[Anonymous No.7027225]

>>7027123
>>7027167
>>7027172
>>7027218
>not learning at the age of 9 like Tao
What are you even doing here?