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Okay so I have a football league with teams 1,2,3,4,5,6,7,8 and every team needs to play each other once and only one time. Also every team needs to have 2 bye weeks and 2 teams have a bye week every week.
Ex: 1vs.2 3vs.4 5vs.6 (7,8 bye week)
So there are only 3 games a week

2007-10-14 07:50:01 · 3 answers · asked by VH 1 in Sports Football (American)

3 answers

your formula doesn't work. The league you propose is a 28 game schedule. That doesn't work on 3 games a week, i.e. 3 X 9 = 37, 3 X 10 = 30. That's going to leave a 9 week season where 1 week has 4 games (X1 below) or a 10 week season where 1 week has 1 game (X2 below) or 2 weeks have 2 games (X3 below).

X1 = 9 week season, 1 week has 4 games

1 2 bye
3 4
5 6
7 8

1 4
3 6 bye
5 8
7 2

1 6
3 8
5 2
7 4 bye

1 8
3 2
5 4 bye
7 6

1 3 bye
5 7
2 4
6 8

1 7
5 3
2 8 bye
6 4

1 5
3 7
2 6
4 8

1 2
3 6
7 4
5 8 bye

5 4
1 3
2 8
6 7 bye


X2 = 10 week season, last week has 1 game

1 2 bye
3 4
5 6
7 8

1 4
3 6 bye
5 8
7 2

1 6
3 8
5 2
7 4 bye

1 8
3 2
5 4 bye
7 6

1 3 bye
5 7
2 4
6 8

1 7
5 3
2 8 bye
6 4

1 5 bye
3 7
2 6
4 8

1 2
3 6
7 4
5 8 bye

5 4
1 3
2 8
6 7 bye

1 5


X3 = 10 week season, last 2 weeks have 2 games


1 2 bye
3 4
5 6
7 8

1 4
3 6 bye
5 8
7 2

1 6
3 8
5 2
7 4 bye

1 8
3 2
5 4 bye
7 6

1 3 bye
5 7
2 4
6 8

1 7
5 3
2 8 bye
6 4

1 5 bye
3 7
2 6
4 8

1 5
3 6
2 8
4 7 bye

1 2
3 6 bye
7 4
5 8 bye

5 4
1 3
2 8 bye
6 7 bye

2007-10-15 12:56:10 · answer #1 · answered by Anonymous · 1 0

I can, but I won't.

2007-10-14 08:21:01 · answer #2 · answered by Steve 7 · 0 1

no

2007-10-14 07:53:01 · answer #3 · answered by Izzat 4 · 1 1

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