Math CentralQuandaries & Queries


Question from Dave:

have 20 golfers for 6 days. Each player should pair with 18 golfers
used a system on your website which is good for 5 days, but cannot get the 6th day.
Thanks for your help Dave


In the schedule on the website there are 4 groups of 5 that do not play together. If you are looking at Penny’s reply to Mona, they are the columns of the array. If you choose 4 out of each 5, then make a foursome out of the remaining 4, that’s the best you can do. Sixteen players are never paired with the same player twice, and an unlucky 4 are not so lucky on round 6; for every 2 of them it is their second round together. A perfect schedule does not exist.

Good luck.

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