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 four
different members. There are 12 qualified​ candidates, and officers can also serve on the committee. Complete parts​ (a) through​ (c) below.

How many different ways can the officers be​ appointed?

Part 2
b. How many different ways can the committee be​ appointed?

Part 3
c. What is the probability of randomly selecting the committee members and getting the youngest of the qualified​ candidates?

P(getting the four youngest of the qualified ​candidates)=