SOLUTION: Total number of ways in which 5 balls of different colour can be distributed among 3 persons so that each person gets atleast one ball is?

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Question 1026776: Total number of ways in which 5 balls of different colour can be distributed among 3 persons so that each person gets atleast one ball is?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
C%284%2C2%29%2A3%21+=+6%2A6+=+36
If the five balls were lined up there are four spaces in-between where two separators can be inserted. The two separators can be positioned in C(4,2) = 6 ways. After this, the three separated sets can be arranged in 3! = 6 ways. This gives a total of 6*6 = 36 ways.