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Scheduling an academic competition 2012-06-12
Mike pose la question :
I need to schedule 18 high school teams to play each other in a "Jeopardy!"-like academic competition. Teams compete against each other 6 at a time (simultaneously) in 3 different rooms. What will the minimum amount of matches (I believe 6 ?) we would have to play to ensure that each team plays every other team exactly twice?

And more importantly: what would that schedule look like?

The best I've come up with is having most teams playing twice, but with 2 pairs of teams having to play either only once or sometimes 3 times.

Thanks in advance for any help you can give! :-)


Chris Fisher lui répond.



Centrale des maths reçoit une aide financière de l’Université de Regina et de The Pacific Institute for the Mathematical Sciences.



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