Question

In how many ways can a president, vice president, secretary,

and treasurer be elected from a group of five people?

Answer 1

120 ways

Explanation:

This can be solved through analytical combination.

First, select the president; this implies selecting one person out of five people, which is in 5 ways.

Secondly, select the vice president, this implies selecting one person out of four people, since one position has been taken by the president already leaving only four people which is in 4 ways

Thirdly, select the secretary, this implies selecting one person out of three remaining people, which is in 3 ways

Lastly, select the treasurer, this implies selecting one person out of two remaining people, which is in 2 ways

Therefore, ways by which a president, vice president, secretary, and treasurer can be elected is

5 x 4 x 3 x 2 = 120 ways