Mathematics 30-1 Module 8

1. There are 15 teams that could be in first place, 14 teams that could be in second place, 13 teams in third, 12 in fourth, 11 in fifth, 10 in sixth, 9 in seventh, and 8 teams that could be in eighth place. So the total number of ways that the quarterfinals can be played is 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8.