There are 9 balls in a bag - 3 green, 3 blue, and 3 red.
Three kids reach in and grab 3 random balls each.
How many different arrangements can they end up with?
Clarification: The balls are indistinguishable, and if one kid got RGR, its the same distribution as if he got GRR.
hint: for this problem you would use combination instead of permutation (because order doesn't matter).