The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball is

Engineering

Mathematics

Formation of Groups

Question

210

243

150

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Number of ways $= \frac{5! \times 3!}{1! 2! 2! 2!} + \frac{5! \times 3!}{1! 1! 3! 2!} = 90 + 60 = 150$