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There are 10 women and 10 men in movie theater. (a) In how many ways can...

There are 10 women and 10 men in movie theater.

(a) In how many ways can they sit in a row?

(b) In how many ways can they sit in a row if the men and women are each to sit together?

(c) In how many ways can only the men sit together?

(d) In how many ways can they sit together if no two people of the same sex are allowed to sit together?

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