Question 514874
You are correct that there are 6! = 720 ways that we could arrange six men in a row, and 4! = 24 ways to arrange four women in a row, but since all of the men and all of the women need to sit together, we also have to take into account how the two groups are arranged:

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So there are actually 6!4!2 = (720)(24)(2) = 34,560 ways to rearrange the six men and four women as specified.