1. The problem statement, all variables and given/known data The total number of ways in which 5 balls of different colors can be distributed among 3 persons so that each person gets at least one ball is Ans: 150 2. Relevant equations 3. The attempt at a solution I don't understand what's wrong with my answer. In case of each person getting one ball and the remaining two balls going to a single person, I have 5*4*3*3 ways. 5*4*3 for the first three balls and then the remaining two balls have three options, therefore the final *3 In case of the remaining two balls going to different people, I have 5*4*3*6 ways to do so, the final*6 because I have 3 spots and I have two pick two balls, and order matters as the balls are different. Adding 5*4*3*3 + 5*4*3*6, I get 540. What am I doing wrong?