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Question

The number of ways in which 4 men and 4 women are to sit for a dinner at a round table so that no two men are to sit together is:

A
576
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B
144
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C
36
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D
120
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Solution

The correct option is A 144
4 women can be seated at a round table in 3! ways. There are 4 spaces generated between women in which 4 men can be seated in 4! ways.
Hence required number of ways =4!.3!=144

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