I have no idea please help

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 14

qualified​ candidates, and officers can also serve on the committee. Complete parts​ (a) through​ (c) below.

a. How many different ways can the officers be​ appointed?

There are __different ways to appoint the officers.

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

There are ___different ways to appoint the committee.

c. What is the probability of randomly selecting the committee members and getting the

threeyoungest of the qualified​ candidates?

​P(getting the three youngest of the qualified candidates)=_____.

Answer 1

(a) There are 14*13*12*11 = 24024 way to select the officers...

(b) Since the officers can also serve on the committee, the sampling

is with replacement, so then there are (14 choose 3) ways to

select the committee members... 364 ways to be exact

(c) there are 3!=6 was to arrange the youngest members...

6/364 = 1.648...%