Answer:
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.