There were 15 students running in a race. How many different arrangements of first, second, and third place are possible?

The area 2730 possible arrangements of first, second, and third place.

Step-by-step explanation:

The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:

3 from a set of 15. So

The area 2730 possible arrangements of first, second, and third place.

2,600 divided by 80 = 32.5

step-by-step explanation: