statistics math question

Question

A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO). It must also appoint a planning committee with three different members. There are 17 qualified​ candidates, and officers can also serve on the committee. Complete parts​ (a) through​ (c) below.

Answer 1

You don't provide a-c; my guess at what they are:

a) The number of ways to have the 4 officers, as order matters: P(17,4) = 17*16*15*14 = 57120 - P stands for permutation.

b) The number of ways to have the committee, as order does not matter; note that officers can be on the committee; C(17,3) = 17*16*15/(3*2*1) = 680

c) The number of ways to have the officers and committee: 57120 * 680 = 38841600