Answer:
120 ways
Step-by-step 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
