hello, my name is steve and i am writing you guys this email as a last resort for figuring out a random schedule for my fantasy football league. i am not a teacher or student, and i consider this to be a fairly complex triganomotry type question so ill say it's a secondary level.
here's the rub... i am in a ten(10) team league, split evenly into two five team divisions. we play a thirteen(13) game schedule and would like to play each team in your own division twice, and each team in the other division once. according to my rudimentary mathematics that equals 13 games. a good schedule should look somthing like this: team 1-5 = division 1 team 6-10 = division 2 team 1 should play teams 2-5 twice and teams 6-10 once.
thanks in advance for insight you can offer
This has nothing to do with trigonometry; it is graph colouring;
not too complex, but not completely elementary either:
It is not the only possible solution; anyway, you may want to intertwine the weeks 1 to 5 with the weeks 6 to 10, to avoid having two teams playing each other on consecutive weeks.Claude
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