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Let's look at the men first. There are 5 and it is a circular permutation so we can arrange them in 5!/5=4! different ways. Now, let's put one woman between each man in each of those permutations. There ar 5! ways to do this. So the answer is 5! x4!= 2880

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Q: In how many ways can five men and five women be seated around a table if the man and women alternate positions?
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