Question

The University of Montana ski team has nine 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 nine team entrants achieve first, second, and third places

Answer 1

504 ways

Explanation:

The first position can go in 9 ways

The second position can go to the team in 8 ways

The third position can go to the team in 7 ways

Therefore, the first,second and third position can go to the team in:

9 X 8 X 7=504 ways

or Simply, we can use Permutation.

`^9P_3=504` ways