Question

In: Statistics and Probability

A corporation must appoint a? president, chief executive officer? (CEO), chief operating officer? (COO), and chief...

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 1111 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?

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

c. What is the probability of randomly selecting the committee members and getting the fivefive youngest of the qualified? candidates? ?

Solutions

Expert Solution

a) How many different ways can the officers be? appointed?

The total number of qualified candidates = 11

By the permutation rule (all objects are distinct) the number of ways of choosing 5 officers out of 11 is,

   

55440 different ways can the officers be? appointed.

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

By the combination rule, the number of ways of choosing committe is,

462 different ways can the committee be? appointed.

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

P(getting five youngest of the qualified? candidates) =

Approximately there is 0.2% probability randomly selecting the committee members and getting the five youngest of the qualified? candidates.

orchestra answered 2 years ago
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