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.
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 three youngest of the qualified​ candidates?
​P(getting the three youngest of the qualified candidates)=________
(Type an integer or a simplified​ fraction.)

Answer 1

Answer:a) 57120 ways

b) 4080

c= nothing

Step-by-step explanation:

Total number of qualified candidates= 17

Total number of officers to be appointed =4

Number of different ways using permutation = 17C4=57120

b) Total number of qualified candidates =17

Total number of planning officers=3

Number of different ways using permutation = 17C3=4080 ways

C) Probability P(getting 3 youngest of the qualified candidates)= nothing