randomly group golfer into teams of 4 with no repeats over 3 days

golfnut1

New Member
Joined
Jan 14, 2006
Messages
9
I've created a spreadsheet where I have a list of 24 golfers. These golfers have 12 "A" players and 12 "B" players. When I hit the sort button, they are randomly divided into 6 teams of 4 with 2 "A" players and 2 "B" players on each team. Now I want to do this for 3 days with no one golfer playing on the same team with another golfer that he has already played with. In other words, each golfer should have 9 different team mates over the 3 days. I'm not sure how to do this. I'd appreciate any help. Thanks.
 

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This is the well known and extensively analysed "Social Golfer Problem".

The general question: is it possible to have X groups of Y people playing Z games, without anyone playing more than once with any other player, is an unsolved problem.

In your case though the numbers are relatively small, and with a little bit of trial and error I found one possible solution as:

Event 1
A1, A2, B1, B2
A3, A4, B3, B4
A5, A6, B5, B6
A7, A8, B7, B8
A9, A10, B9, B10
A11, A12, B11, B12
Event 2
A2, A3, B6, B7
A4, A5, B8, B9
A6, A7, B10, B11
A8, A9, B12, B1
A10, A11, B2, B3
A12, A1, B4, B5
Event 3
A1, A4, B6, B11
A2, A5, B3, B10
A3, A7, B1, B5
A6, A10, B7, B12
A8, A11, B4, B9
A9, A12, B8, B2

<tbody>
</tbody>

Now just randomly allocate your players to the A1 to A12 and B1 to B12 slots.
 
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Thank you so much, StephanCrump. I was making it more complicated than it was. Your help was very much appreciated.
 
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