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It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?

Q.9.    It is required to seat 5 men and 4 women in a row so that the women occupy the
           even places. How many such arrangements are possible?

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 It is required to seat 5 men and 4 women in a row so that the women occupy the even places.
The 5 men can be seated in 5! ways.

4 women can be seated at cross marked places (so that women occupy even places)

Therefore, women can be seated in 4! ways.

Thus, the possible arrangements =5!\times 4!=120\times 24=2880

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