JEE Advanced 2012 Mathematics question
The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is
Answer: (B)
Solution
Each of the 5 distinct balls can go to any of the 3 persons: ways in all. Subtract distributions in which some person gets nothing, by inclusion–exclusion: number of onto distributions 3^53C_12^5$ +
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