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Old 11-13-2012, 11:33 PM   PM User | #15
Fou-Lu
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Yes, I'm aware of what you want to do. What I'm saying is with 8 teams you cannot play a total of 40 games without partial repetition. So my question is still how to deal with which combinations are chosen for repetition. So I can only write combinations which apply to 7 games per team; that is one team plays every other team once and only once (28 games). If you played 56 total games (repetition allowed), then you could do it evenly with the 8, but not with 40.
The only way to get to the 40 with 8 teams really is to make it so every team only plays a total of 5 games. But again, that creates a problem since you still need to decide which two teams each team will not play against (each team needs to play 7 in order to play completely against each other).
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