Assume that in a given year the National Basketball Association has 28 teams, which are split into two conferences of 14 teams each. These conferences are split into divisions. The Atlantic Division consists of five teams. Each of these five teams play four games against each of the other four teams in the division, three games against each of the remaining teams of the conference, and two games agains each team in the other conference, for a total of 4 x 4+3 x 9+2 x 14=71 games. The Orlando Magic plays in the Atlantic Division. In how many different orders can the 71 games of the Magic be scheduled?

Assume that in a given year the National Basketball Association has 28 teams, which are split into two conferences of 14 teams each. These conferences are split into divisions. The Atlantic Division consists of five teams. Each of these five teams play four games against each of the other four teams in the division, three games against each of the remaining teams of the conference, and two games agains each team in the other conference, for a total of 4 x 4+3 x 9+2 x 14=71 games. The Orlando Magic plays in the Atlantic Division. In how many different orders can the 71 games of the Magic be scheduled?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Assume that in a given year the National Basketball Association has 28 teams, which
are split into two conferences of 14 teams each. These conferences are split into
divisions. The Atlantic Division consists of five teams. Each of these five teams play
four games against each of the other four teams in the division, three games against
each of the remaining teams of the conference, and two games agains each team in
the other conference, for a total of 4 × 4 + 3 x 9 + 2 × 14 = 71 games.
The Orlando Magic plays in the Atlantic Division. In how many different orders can
the 71 games of the Magic be scheduled?

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