SOLUTION: In a round-robin tennis tournament, every player meets every other player exactly once. How many players can participate in a tournament of 45 matches?
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Question 131197: In a round-robin tennis tournament, every player meets every other player exactly once. How many players can participate in a tournament of 45 matches? Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! let x="number of players" __ each player plays x-1 matches BUT a vs b is the same as b vs a
__ so the number of matches is x(x-1)/2
x(x-1)/2=45 __ multiplying by 2 and subtracting 90 __ x^2-x-90=0
