The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the ten team entrants achieve first, second, and third places?

720 ways

Step-by-step explanation:

For the first position, there are 10 choices I. e 10 entrants jostling for it.

For the second position, there would be 9 choices

For the third position, there would be 8 choices

Total number of choices = 10 * 9 * 8 = 720 ways