If seven basketball teams are in a tournament, find the number of different ways that first, second, and third place can be decided, assuming ties are not allowed.
A)42
B)210
C)6
D)1,680
E)840

Question

Quizplus · Accepted Answer

There are 7 teams, so there are 7 choices for first place. Once first place is chosen, there are 6 choices for second place. Once second place is chosen, there are 5 choices for third place. So, the total number of different ways that first, second, and third place can be decided is 7 * 6 * 5 = 210.

If Seven Basketball Teams Are in a Tournament, Find the Number