Question: assume there are 65 students in our class and that...

Assume there are 65 students in our class and that 30 of the students are women.

(a) How many different 6 member committees are there? (Please leave your answer in terms of (n k) <-- on top of each other

(b) How many different 6 member committees are there if the committees contain 3 men and 3 women?

(c) How many different 6 person committees are there if there one president, one vice-president, and 4 other members?