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8.8

12 people playing golf

Asked by GwynforWeb in Math & Science

12 people playing golf
groups of 4
4 rounds

Is it possible for everyone to play a golf game with every other person at least once, I'd be interested in a proof that it can not be done or a demonstration of  that it can.  I do not know the answer to this question. It is close to a Steiner system problem but is not quite.

Statements of the form "my mate Frank tried to do it but couldn't " are not considered proofs.
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Zone: Math & Science
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Solution Provided By: sdstuber
Participating Experts: 4
Solution Grade: A
 
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