There are 15 qualified applicants for 5 trainee positions in a fast-food management program. How many different groups of trainees can be selected? Select one:

a. 75

b. 3003

c. none of these choices

d. 360,360

e. 15

C

Step-by-step explanation:

This is actually a combination problem as we are trying to select groups of 5 from the 15 qualified trainees.

To do this, we use the combinatorial approach. This is done by using the formula 15C3 = 15! / (15-3) !3!

This gives a value of 455