Question

in a race there are 15 Runners the trophies for the race are awarded to the races finish and 1st through 3rd place and how many ways can first through third place be determined

Answer 1

There are 15 possibilities for first place, 14 for second, and 13 for third. 15 × 14 × 13 = 2730

Answer 2

Answer:

There are 2,730 ways that 1st, 2nd and 3rd place can be determined in the race

Step-by-step explanation:

There are 15 (number of runners) possibilities to determine the 1st place

There are 14 possibilities (number of runners - 1) to determine the 2nd place

There are 13 possibilities (number of runners - 2) to determine the 3rd place

Number of ways that 1st, 2nd and 3rd place can be determined = 15 * 14 * 13

Number of ways that 1st, 2nd and 3rd place can be determined = 2,730