Suppose that a department contains 9 men and 15 women. how many different committees of 6 members are possible if the committee must have strictly more women than men?

 The required number of different possible committees is 81172.

Step-by-step explanation:    Given that a department contains 9 men and 15 women.

We are to find the number of different committees of 6 members that are possible if the committee must have strictly more women than men.

Since we need committees of 6 members, so the possible combinations are

(4 women, 2 men), (5 women, 1 men) and (6 women).

Therefore, the number of different committees of 6 members is given by

Thus, the required number of different possible committees of 6 members is 81172.

-2 is the right