How many different arrangements of $5$ distinct books are possible on a shelf?

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Four men and four women (including two particular women, $W_{1}$ and $W_{2}$ ) are to be seated in a row so that no two men sit next to each othe…
In how many ways can a committee of $4$ be chosen from $9$ people?
How many different arrangements of $7$ distinct books are possible on a shelf?