If 3n different things can be equally distributed among 3 persons in k ways then the number of ways to divide the 3n things in 3 equal groups is

JEE Advanced Mathematics question

If different things can be equally distributed among 3 persons in ways then the number of ways to divide the things in 3 equal groups is

Answer: (B)

Every division into 3 (unlabelled) equal groups can be handed to the 3 persons in ways, and each distribution arises exactly once this way. Hence

(\text{number of di

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Question ID VK-108215