Question

A science club has 16 members. How many ways can a president, a Vice President, and a treasurer be selected from the members?

Answer 1

3,360

Explanation:

We calculate the number of permutations for this problem where the order in which we accommodate people matters to us as follows:

`P=(n!)/((n-r)!)`

where n is the total number of options we have; the total number of members:
`n=16`

and r is the number of places or positions we are considering which in this case are the President position, the Vice president position and the treasurer position ⇒ 3 positions in total ⇒
`r=3`

substituting n and r in the formula:

`P=(16!)/((16-3)!) \\\\P=(16!)/(13!) \\\\P=3,360`

A president, a Vice President, and a treasurer can be selected from the members in 3,360 ways