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[JEE Advanced 1981] five balls of different colours are placed in three different boxes each holds all

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Five balls of different colours are placed in three different boxes (each holds all five). In how many ways can this be done with no box empty?

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VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Answer: $150$.

Onto functions from $5$ balls to $3$ boxes: $3^5-3\cdot2^5+3=150$.

JEE Advanced 1981 · Permutations and Combinations — verified solution by the Vidaara Team.

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