Permutation and Combination - General Questions

From 9 men and 7 women, a committee of 4 is to be formed with exactly 2 men and 2 women. In how many ways can it be done?

From 5 men and 5 women, a committee of 5 is to be formed with exactly 2 men and 3 women. In how many ways can it be done?

In how many ways can 9 people be seated around a circular table?

How many diagonals does a polygon with 7 sides have?

From 5 men and 8 women, a committee of 4 is to be formed with exactly 3 men and 1 woman. In how many ways can it be done?