Question

1) Suppose that a company will select 3 people from a collection of 15 applicants to serve as a regional manager, a branch manager, and an assistant to the branch manager. In how many ways can the selection be made

Answer 1

Answer:

2,730 ways

Step-by-step explanation:

Since the same person cannot hold more than one position, the company has 15 options for the first choice, 14 for the second choice and 13 for the third choice, and since the three chosen positions are different, the order of the picks also matter. The number of ways the selection can be made is:

$n=\frac{15!}{(15-3)!}= 15*14*13=2,730\ ways$

The selection can be made in 2,730 ways.