Question

A committee of 15 people is holding elections today. The positions on the ballot are: chairman, vice?chairman, parliamentarian, recording secretary, and treasurer. If each position is to be held by one person and no person can hold more than one position, in how many ways can those positions be filled?

Answer 1

Answer: There are 360,360 ways that those positions can be filled.

Explanation:

Since we have given that

Number of position = 5

As follows :

Chairman, Vice chairman, parliamentarian, recording secretary, and treasurer.

Number of people is holding elections today = 15

Number of positions that can be filled is given by

`15* 14* 13* 12* 11\\\\=360,360`

Hence, there are 360,360 ways that those positions can be filled.