Question

From 15 men and 11 women, how many committees of 10 persons can be chosen if each committee is to have exactly 8 men?

Answer 1

1

Explanation:

There are 15 men in total;

If each committee is to have 8 men (and assuming one man cannot be in multiple committees), we can simply do the following:

15/8 = 1.875

This means only 1 committee can be made containing exactly 8 men.

You can also think of it like this:
If 8 men make up 1 committee, then this leaves 7 (15 - 8) men left;

Since you need 8 men, there is not enough for a second committee (once again, assuming that one man cannot be in more than one committee).