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[JEE Advanced 2012] The number of ways to distribute $5$ differently-coloured balls among $3$ persons so each gets at least one is

VAVidaara Admin Asked 1mo ago 2 views 1 answer
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The number of ways to distribute $5$ differently-coloured balls among $3$ persons so each gets at least one is

(a) $75$
(b) $150$
(c) $210$
(d) $243$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 1mo ago ▲ 0

Correct answer: (b) $150$

Onto functions $=3^5-\binom31 2^5+\binom32 1^5=243-96+3=150$.

JEE Advanced 2012 · Permutations and Combinations — verified solution by the Vidaara Team.

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