Question 305224: 16 tennis players playing for 8 weeks. They play 4 on a court each week. How do I figure out the different number combinations(if I call each player a number 1-16)so they play the most players? I know I can start with 1,2,3,4 on court 1, 5,6,7,8 on court 2 etc. for the first week, but where do I go from there?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 16 tennis players playing for 8 weeks. They play 4 on a court each week. How do I figure out the different number combinations(if I call each player a number 1-16)so they play the most players? I know I can start with 1,2,3,4 on court 1, 5,6,7,8 on court 2 etc. for the first week, but where do I go from there?
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It takes four to have a match.
16C4 = (16*15*14*13)/(1*2*3*4) = 1820 unique groups of 4
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Cheers,
Stan H.
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