Medium
$A$ committee of $12$ members is to be formed from $9$ women and $8$ men such that it contains at least $5$ women. Find the number of ways the committee can be formed such that women are in the majority and the number of ways the committee can be formed such that men are in the majority,respectively.
- A$4784, 1008$
- B$2702, 3360$
- C$6062, 2702$
- D$2702, 1008$
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