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?
We'll use combinations, so we have:
Total committees = total faculty members * total students
Total committees = 495 * 3,003
Total committees = 1,486,485
We'll use combinations, so we have:
- 12 faculty members choose 4 faculty members --> 12 C 4 = 495
- 15 students choose 5 students --> 15 C 5 = 3,003
Total committees = total faculty members * total students
Total committees = 495 * 3,003
Total committees = 1,486,485