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QuestionBusiness Management

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 1 3 qualified candidates, and officers can also serve on the committee. Complete parts ( a ) through ( c ) below. a . How many different ways can the four officers be appointed? There are different ways to appoint the four officers. b . How many different ways can a committee of three be appointed? There are different ways to appoint a committee of three. 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. )
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Step 1
: Find the number of ways to appoint the four officers.

There are 13 qualified candidates in total. For each officer position, we can choose one candidate from the 13 available. However, since officers can't hold multiple positions, we need to divide the product of these choices by the number of ways to reorder the officers, which is 4 factorial (4!).

Final Answer

There are 13 qualified candidates in total. For each officer position, we can choose one candidate from the 13 available. However, since officers can't hold multiple positions, we need to divide the product of these choices by the number of ways to reorder the officers, which is 4 factorial (4!).

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