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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?

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    $\begingroup$ Since this is a site that encourages learning, you will get much more help if you show us what you have already done. Could you edit your question with your thoughts and ideas? $\endgroup$ – 5xum Jan 6 '15 at 7:02
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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 $$4!\times5!$$

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