Chapter 12.3, Problem 65E

In Exercise 55–68, use the fundamental counting principle.

Choosing an evaluation team. The academic computing committee at Sweet Valley College is in the process of evaluating different computer systems. The committee consists of five administrators, seven faculty, and four students. A five-person subcommittee is to be formed. The chair and vice chair of the committee must be administrators; the remainder of the committee will consist of faculty and/or students. In how many ways can this subcommittee be formed?