Probability distribution of combinations

Hi to everybody!

I would ask an advice on an analysis that I want to do.

I have n=69 balls, within 69, 17 are black balls, 29 white balls, 22 red balls and 1 yellow balls.
How can I compute a probability distribution of all possible combinations in r=7 positions, considering that could be repetions, it means that I could obtain a combination of 7 black or 7 red etc..

What tool I could use to obtain this?