## anonymous 4 years ago how many possible combinations can there be with the numbers 6,6,4,4,1?

1. anonymous

if they were all different you would have 6! combinations, but since you cannot tell the 6s apart, nor the twos, it is $\frac{6!}{2\times2}$

2. anonymous

"6,6,4,4,1" are 5 numbers isn't ?

3. anonymous

lol

4. anonymous

yeah i guess it is isn't it!

5. anonymous

so if it was 42333 what would it be? whats the general formula?

6. anonymous

what is an additional number between friends? ok i was wrong, maybe try $\frac{5!}{2\times 2}$ if you want to actaully get the correct answer

7. anonymous

haha :D

8. anonymous

$\frac{5\times 4\times 3\times 2}{2\times 2}=5\times 3\times 2=30$ (did i get that right?)

9. anonymous

looks correct, but what is the general formula?

10. anonymous

$\frac{5!}{3!}$ for the second one

11. anonymous

so that otheer one is really 2!x2! in the denominator?

12. anonymous

yes, if you want to think of it that way. the number of ways you can permute 2 things is 2! = 2

13. anonymous

awesome thanks so much!

14. anonymous

yw

15. anonymous