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Fantasy Football Math Question

 
 
NBow37
 
Reply Wed 18 Aug, 2010 12:59 pm
This is driving me crazy. I have 12 teams divided into 3 divisions (#1-4 = Division 1, #5-8 = Division 2, #9-12 = Division 3). There are 13 total games. Each team in each division will play each other twice. That brings us to 7 "out of division games".

In one of the "out of division" weeks, #1 plays #7, #2 plays #9, #3 plays #10, #4 plays #6, #5 plays#12, and #8 plays #11. That leaves us with 6 remaining games. In those six games, #1 can't play #11, #2 can't play #12, #3 can't play #7, #4 can't play #8, #5 can't play #10, and #6 can't play #9.

If every week someone is playing someone new( i.e. no duplicate teams), what is the remaining schedule for each team (#1-12) for the rest of those 6 "out of division" games?

Any help would be appreciated. Thanks!

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McGentrix
 
  1  
Reply Wed 18 Aug, 2010 01:12 pm
Week 1: 2-1, 4-3, 5-6, 7-8, 9-10, 11-12
Week 2: 3-1, 4-2, 7-5, 6-6, 11-9, 12-10
Week 3: 2-3, 1-4, 6-7, 5-8, 10-11, 9-12
Week 4: 6-2, 12-4, 1-5, 9-7, 8-10, 3-11
Week 5: 7-2, 10-4, 11-5, 1-6, 12-8, 3-9
Week 6: 12-1, 8-3, 4-6, 10-7, 5-9, 2-11
Week 7: 8-2, 9-4, 1-7, 5-10, 6-11, 3-12
Week 8: 8-1, 7-3, 11-4, 12-5, 10-6, 2-9
Week 9: 10-1, 5-3, 9-6, 4-7, 11-8, 2-12
Week 10: 5-2, 4-8, 1-9, 3-10, 7-11, 6-12
Week 11: 1-2, 3-4, 6-5, 8-7, 10-9, 12-11
Week 12: 1-3, 2-4, 5-7, 6-8, 9-11, 10-12
Week 13: 4-1, 3-2, 8-5, 7-6, 12-9, 11-10

Home-away if it matters to you for inter conference games.
NBow37
 
  1  
Reply Wed 18 Aug, 2010 01:23 pm
@McGentrix,
Thanks a lot!

Appreciate it!

I do still have a slight problem still though... In one of the "out of division" weeks, they want #1 to play #7, #2 to play #9, #3 to play #10, #4 to play #6, #5 to play#12, and #8 to play #11. In addition to that, #1 can't play 11, #2 cant play 12, #3 cant play 7, #4 cant play 8, #5 cant play 10, and #6 can't play 9 still.

What would the remaining 6 weeks be?

Home/away doesn't really matter
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McGentrix
 
  1  
Reply Wed 18 Aug, 2010 01:38 pm
Tell them too bad, that's the schedule.
NBow37
 
  1  
Reply Wed 18 Aug, 2010 01:41 pm
@McGentrix,
haha
0 Replies
 
markr
 
  1  
Reply Wed 18 Aug, 2010 11:16 pm
@NBow37,
1-5, 2-7, 3-12, 4-10, 6-11, 8-9
1-6, 2-8, 3-11, 4-12, 5-9, 7-10
1-7, 2-9, 3-10, 4-6, 5-12, 8-11
1-8, 2-10, 3-9, 4-7, 5-11, 6-12
1-9, 2-11, 3-8, 4-5, 6-10, 7-12
1-10, 2-5, 3-6, 4-9, 7-11, 8-12
1-12, 2-6, 3-5, 4-11, 7-9, 8-10
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