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Arranging league fixtures

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shaggy1967 | 18:03 Wed 03rd Oct 2007 | Quizzes & Puzzles
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Does anyone know how to arrange fixtures for a league with 10 team who must play each other home and away. The problem is 4 entrants have entered 2 teams each and both teams cannot be at home at the same time. Any suggestions. I already have fixture schedule for a basic 10 team league without the problem mentioned.
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Is that 10 teams including the doubles or are there 14 all together?
This may work with a bit of tweaking to allow for the double entries:-
Week 1 Week 2 Week 3 Week 4 Week 5

A v B C v A E v C G v C I v G
C v D E v B G v A I v C J v E
E v F G v D I v B J V A H v C
G v H I v F J v D H v B F v A
I v J J v H H v F F v D D v B

All I've done is written the first week's matches out then moved the letters ( teams ) in a clockwise direction to produce week 2 and so on. Obviously you need to continue to week nine then reverse the fixtures. You'll also have to turn some fixtures round each week so that teams don't get a run of too many home/away matches e.g
Week two reverse the middle three.
I'm sure that with a bit of fine-tuning by you it will work.
Best of luck.
Sorry - the posting above didn't appear as I typed it. Ffixtures have been bunched up instead of appearing under the appropriate week.
The final point I should have made is that when double entrants play each other it won't really matter who's at home and who's away. That could make things a little easier for you.
If you've got a proper chart, all you need to do is ensure that the teams sharing a venue are 'paired', ie A and F, B and G, C and H, D and I, E and J. That should avoid venue clashes and unnecessary runs of home or away games.

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