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27 Nov 2017, 19:57
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Suppose there are 4 schools participating in a state tennis tournament. Each school has 3 tennis players. Each tennis player must play a match with every tennis player except the ones from his or her own school. How many matches will there be?
With drawing this out I came up with 54.
The issue I'm having is that I can't come up with a generalized equation that would work for this problem. As well as if I wanted to add more schools or players.
Can anyone help me?
With drawing this out I came up with 54.
The issue I'm having is that I can't come up with a generalized equation that would work for this problem. As well as if I wanted to add more schools or players.
Can anyone help me?
27 Nov 2017, 23:17
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Icejet
Did you get to 54 with 27+18+9?
Perhaps you could also go with the total number of matches LESS the number of intraschool matches:
[C(Total number of players, 2)] − [(Number of schools) × C(Number of players per school, 2)]
This is when the number of players per school is the same (and only 2 player matches).
In this case, we'll get C(12, 2) − [4 × C(3,2)] = 66 − 12 = 54
