It is required to seat 5 men and 4 women in a row such that women occupy even places. How many such arrangements are possible?
closed as off-topic by 6005, Ali Caglayan, N. F. Taussig, aes, qwr Jan 13 '15 at 0:39
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For your question, women have to occupy the even places, so the men must occupy the odd places. Hence the number of arrangements is $$4!\times5!$$