Question

A committee consisting of

4

faculty members and
5

students is to be formed. Every committee position has the same duties and voting rights. There are
12

faculty members and
15

students eligible to serve on the committee. In how many ways can the committee be formed?

Answer 1

Explanation:

These are independent non-ordered events. The faculty members chosen don't affect the students and vice versa. There is no issue with replacement, and the only limitation is the number of people allowed to serve.

12C4*15C5

495*3003=1,486,485 ways