The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?
A) 302,400
B) 720
C) 1,814,400
D) 10

Question

Quizplus · Accepted Answer

The number of "Top Three" outcomes in a race with 10 horses can be calculated using permutations since the order matters. The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items (in this case, horses) and r is the number of items to arrange (in this case, the top three positions). So, P(10, 3) = 10! / (10-3)! = 10! / 7! = 10 x 9 x 8 = 720.

The "Top Three" at a Racetrack Consists of Picking the Correct