Acorporation must appoint a president, chief executive officer (ceo), chief operating officer (coo), and chief financial officer (cfo). it must also select a planning committee with five different members. there are 17 qualified candidates, and officers can also serve on the committee. how many different ways can the committee be appointed?

There are 524,560 ways that the committee can be appointed.

Step-by-step explanation:

There are 9 different positions, a president, 3 officers and five committee members.

So

P - O1 - O2 - O3 - C1 - C2 - C3 - C4 - C5

There are 17 candidates, any of them can be president. So P = 17.

All of the others can be an officers. So O1 = 16, O2 = 15(17 subtracted by the president and O1), O3 = 14.

The officers can be committee members, so, C1 = 16, C2 = 15, C3 = 14, C4 = 13, C5 = 12.

How many different ways can the committee be appointed?

This is the sequence C1...C5:

There are 524,560 ways that the committee can be appointed.

step-by-step explanation:

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