Permutation and CombinationHard

Question

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

Options

A.75
B.150
C.210
D.243

Solution

Number of ways
= 35 - 3C1.25 + 3C215
= 243 - 96 + 3 = 150.

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