Question

In a 10 person race, how many different outcomes are there for first, second, and third place?

Answer 1

To determine the number of different outcomes for first, second, and third place in a 10 person race, we need to calculate the number of permutations. The number of permutations of selecting 3 people out of 10 is given by:

10P3 = 10! / (10-3)! = 10! / 7! = (10 * 9 * 8) / (3 * 2 * 1) = 720 / 6 = 120

Therefore, there are 120 different outcomes for first, second, and third place in a 10 person race.