There are 16 people in a running race. The first 3 people to finish the race will be given prizes.

Question

How many different ways can the first, second, and third place prizes be awarded?

Answer options with 4 options
A.
48

B.
560

C.
1120

D.
3360

Answer 1

D. 3360

This can be calculated using the permutation formula as there are 16 people and we are selecting the top 3 in order:

P(16,3) = 16! / (16-3)! = 16 x 15 x 14 = 3360.

Therefore, there are 3360 different ways the first, second, and third place prizes can be awarded.