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

A corporation must appoint a president, chief executive officer (CEO), chief operating officer (CCO), and chief financial officer (CFO). it must also appoint a planning committee with five different members. There are 11 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below

how many different ways can the officers be appointed? how many different ways can the committee be appointed?
Math   Statistics-And-Probability   
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Answer #1

There is 4 officer in the corporation. President,CEO,CCO and CFO ( considering president as a officer )

So we have to choose 4 persons from the 11 qualified candidates. This can be done in or 11C4 = 330 different ways

Officers can be appointed in 330 different ways .

Planning committee should have 5 members. 5 members can be selected from 11 in or 11C5 = 462 ways

So different ways to appoint the committee is 462

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