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:
[tex]n=3*5 =15\ ways[/tex]
The college can fill these positions in 15 different ways.