In a track event with eight distinct top-ranked runners, what is the total number of possible race finish arrangements?

In a track event with eight distinct top-ranked runners, what is the total number of possible race finish arrangements?

Detailed Explanation

This problem can be solved by using a factorial. Factorials help you find permutation-all the ways an event might turn out. Factorials are calculated by finding the product of a whole number and all the whole numbers less than that number.

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320

Therefore, there are 40,320 possible ways the eight runners could finish the race.

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320

Therefore, there are 40,320 possible ways the eight runners could finish the race.