Treebeard's Stumper 9 February 2001

Round Robin

The Santa Ynez Valley Junior High League boys' basketball tournament starts after school today, following a round robin season where each team played every other team. There's an art to winning games of course, and there's also an art to scheduling games. Can you make such a round robin schedule for eight teams, so that each team plays all the others in seven successive rounds? The challenge is to find a method or algorithm that works for any number of teams. Could we schedule a massive round robin at school so that each of the 66 DMS students could interview every other student on 65 consecutive days?

Answer

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