Question

A small college needs two additional faculty members: a chemist and a statistician. There are five applicants for the chemistry position and three applicants for the statistics position. In how many ways can the college fill these positions?

Answer 1

Answer:

15 ways

Step-by-step explanation:

The events "choosing one out of 5 chemists" and "choosing one out of 3 statisticians" are independent, and, therefore, the number of ways that both positions can be filled is determined by the product of the number of ways that each event can occur:

$n=3*5 =15\ ways$

The college can fill these positions in 15 different ways.