how many different ways could first, second, and third place finishers occur in a race with six runners competing?

720

Step-by-step explanation:

This is a permutation since the order at which the people are picked matter due to the fact that it is a race. Using the permutation formula

P= n!/ (n-r)! you can find the different ways the race would end. n stands for the total number of objects in the set while r stands for the number of objects chosen from said set. Then you plug in the numbers in the formula: P= 10!/(10-3)!= 720

the graph on the bottom right