Calculating combinations with colors

Question

I need to know how many combinations there are possible from 10 balls with 5 colors. All colors must be in there, so in every combination there have to be 5 colors. Amount doesnt matter.

Any tips? Thanks!

EDIT

Updated question, I need to know every possibility now. So this is a valid combination:

5 red 0 green 0 blue 0 white 0 black

4 red 1 green 1 blue 1 white 1 black

etc.

I've been playing with stuff like this and the formulas it lists, but I just don't really know what I'm doing, ha. — user163658, Jul 31 '14 at 07:51
The two examples you give don't add up to 10 balls. Do you mean not all 10 balls have to be used? — Mick A, Jul 31 '14 at 10:08

score 0 · Answer 1 · answered Jul 31 '14 at 08:20

Considering 5 different color balls as a single entity. You have 6 different entity. This will give 6! combinations. Now 5 balls in the single big entity can be combined giving you 5! combination with each 6! So total of 5! * 6!

I am a newbie here. So it might be not correct.

Calculating combinations with colors

EDIT

1 Answers1