A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 8 faculty members and 13 students eligible to serve on the committee. In how many ways can the committee be formed?

Answer

20060

How many ways can 2 faculty members be selected from 8? A:8 choose 2 = 28.
How many ways can 4 students be selected from 13? A:13 choose 4 = 715.
What is the total number of ways the committee can be formed? A:The committee can be formed in 28 * 715 = 20,060 ways.

A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 8 faculty members and 13 students eligible to serve on the committee. In how many ways can the committee be formed?​