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| Math Central | Quandaries & Queries |
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Question from michael: We are playing with 15 players over 4 days. We plan to have 3 people in each group. A total of 5 groups with 3 players each. Can I arrange for each player to play with other players only 1 time? |
Michael,
Here’s a complete schedule in which every pair is together exactly once. Seven days are needed to accomplish that. You can use any 4 of them. Some pairs will play together once, and some will play together 0 times. This is the best possible.
Mon: ABC DEF GHI JKL MNO
Tue: ADH BEK CIO FLN GJM
Wed: AEM BHN CGK DIL FJO
Thu: AFI BLO CHJ DKM EGN
Fri: AGL BDJ CFM EHO IKN
Sat: AJN BIM CEL DGO FHK
Sun: AKO BFG CDN EIJ HLM
—Victoria
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