# number of ways to put 4 black,4 white,4 red balls in 6 different boxes

The question says:in how many ways we could put 4 black,4 white,4 red balls in 6 different boxes?

boxes are distinguishable,black balls are identical,red balls are identical,and white balls are identical.

one or more box can remain empty.

i know number of ways to put k indistinguishable balls to n distinguishable boxes.but i don't know how to attack this problem because 3 different kind of balls.

• Each color is independent from each other. Just calculate the possibilities for one color, and then multiply by each other color to get the total possibilities. Jul 24, 2014 at 4:49