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Re: Nine Days, 14 Teams, No Doubles, How?
Posted:
Oct 29, 1999 9:27 AM


Paul Jensen wrote in message <7vbjf9$a47$1@ash.prod.itd.earthlink.net>... >Someone says it is possible to have no double matchups in a nineday, >14team league. I say it is possible in theory, but I do not see a solution, >or the "statistical chart" the other guys speaks of. > >A round robin will work for seven days, after then, what? How do I >manipulate the round robin into having additional matchups that have not >already taken place? Or is there a better statistical format?
There is actually a way to do this for 13 days. Here's one way. On the kth day, pair teams a and b if a+b = k (mod 13), a<14, b<14. Team 14 is then paired with the team a which satisfies 2*a = k (mod 13). This is a general formula which works for an arbitrary number of teams.
Chuck Cadman



