SOLUTION: 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

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Question 1181144: 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 11 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) = ____.

Answer by VFBundy(438) About Me  (Show Source):
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a) How many different ways can the officers be​ appointed?

11*10*9*8 = 7920

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

11C3 = 11%21%2F%283%21%2A8%21%29 = 165

c) What is the probability of randomly selecting the committee members and getting the three youngest of the qualified​ candidates?

%283%2F11%29%2A%282%2F10%29%2A%281%2F9%29 = 1%2F165