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Bridge & other card games/Marathon Sheduling

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Question
We have 11 couples that play once a month for 9 months.  I need a schedule to use so couples do not play each other more than one time in the 9 months.  Thank You for your help.

Answer
Hi,

Assign each pair a number 1-11. Since there is an odd number, one pair will have to sit out each month. Complete rotation is for 10 months but you need only use 9.

Month    Pair Matchups

1    11-2  10-3 9-4   8-5  7-6    Sit out = pair 1
2    1-3   11-4 10-5  9-6  8-7    SO = 2
3    2-4   1-5  11-6  10-7 9-8    SO = 3
4    3-5   2-6  1-7   11-8 10-9   SO = 4
5    4-6   3-7  2-8   1-9  11-10  SO = 5
6    5-7   4-8  3-9   2-10 1-11   SO = 6
7    6-8   5-9  4-10  3-11 2-1    SO = 7
8    7-9   6-10 5-11  4-1  3-2    SO = 8
9    8-10  7-11 6-1   5-2  4-3    SO = 9
10   9-11  8-1  7-2   6-3  5-4    SO = 10  

Bridge & other card games

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I can answer questions on bidding and on cardplay with the caveat that the former may necessarily involve some subjectivity. I have been playing tournament bridge for over 20 years and I have won several regional tournaments.

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