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Bridge & other card games/Scheduling marathon bridge

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Question
We have 14 couples playing once a month for 9 months September through May. We need a rotation where couples alternate hosting months and, of course, play a different couple each month.  I would be so grateful if you could help.

Answer
Hi,

Here is a rotation for 14 pairs over nine months with no pair playing any other pair more than once.

Month          Pair Match ups

1     14-1  13-2  12-3  11-4  10-5  9-6  8-7
2     14-2  1-3   13-4  12-5  11-6  10-7 9-8
3     14-3  2-4   1-5   13-6  12-7  11-8 10-9
4     14-4  3-5   2-6   1-7   13-8  12-9 11-10
5     14-5  4-6   3-7   2-8   1-9   13-10 12-11
6     14-6  5-7   4-8   3-9   2-10  1-11  13-12
7     14-7  6-8   5-9   4-10  3-11  2-12  1-13
8     14-8  7-9   6-10  5-11  4-12  3-13  2-1
9     14-9  8-10  7-11  6-12  5-13  4-1   3-2

I cannot really help with a perfect hosting scheme. Below is a scheme where each pair hosts either 4 or 5 sessions although they do not alternate perfectly.

Month          Host pair

1          14 13 12 11 10 9 8
2          1 2 4 5 6 7 8
3          3 4 1 13 12 11 10
4          14 5 2 7 8 9 10
5          14 6 3 2 1 13 12
6          6 5 8 9 10 11 12
7          7 8 9 4 3 2 13
8          14 7 6 11 12 3 1
9          9 10 11 6 5 4 2  

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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