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A corporation must appoint a? president, chief executive officer? (CEO), chief o

ID: 2946419 • Letter: A

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

fivefive

different members. There are

1616

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

nothing

different ways to appoint the officers.

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

There are

nothing

different ways to appoint the committee.c. What is the probability of randomly selecting the committee members and getting the

fivefive

youngest of the qualified? candidates??P(getting the

fivefive

youngest of the qualified

?candidates)equals=nothing

?(Type an integer or a simplified? fraction.)

Explanation / Answer

a)

as position of officer maters number of ways to appoint officers =16P3 =16!/(16-3)!=3360

b)

here as order not matters number of ways to appoint committee =16C5 =16!/(5!*(16-5)!)=4368

c)probability of randomly selecting the committee members and getting the 5 youngest =1/4368

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