Math Schedule Problem

[ben61693]

The goal is to make a schedule that will allow 8 teams to play each of 4 games once without playing the same team twice.

For instance,

	Games 1	Game 2	Game 3	Game 4
Week 1	1 vs 8	2 vs 7	3 vs 6	4 vs 5
Week 2
Week 3
Week 4

In week 2, each team must play a different game without ever playing a team that they have previously faced.

 

[daon2]

The goal is to make a schedule that will allow 8 teams to play each of 4 games once without playing the same team twice.

For instance,

	Games 1	Game 2	Game 3	Game 4
Week 1	1 vs 8	2 vs 7	3 vs 6	4 vs 5
Week 2
Week 3
Week 4

In week 2, each team must play a different game without ever playing a team that they have previously faced.

Why is this hard? You can obviously rotate the cycle (8,7,6,5)

	Games 1	Game 2	Game 3	Game 4
Week 1	1 vs 8	2 vs 7	3 vs 6	4 vs 5
Week 2	1 vs 7	2 vs 6	3 vs 5	4 vs 8
Week 3	1 vs 6	2 vs 5	3 vs 8	4 vs 7
Week 4	1 vs 5	2 vs 8	3 vs 7	4 vs 6