Problem:
A singles tournament had six players. Each player played every other player only once, with no ties. If Helen won games, Ines won games, Janet won games, Kendra won games and Lara won games, how many games did Monica win?
Answer Choices:
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Solution:
Each of the six players played games, and each game involved two players. So there were games. Helen, Ines, Janet, Kendra and Lara won a total of games, so Monica won games.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions