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MathNet 2005 — Part 03 Question 75

Math Olympiad Vault · MathNet 2005 — Part 03

Question 75

Only teams from Mali mesto and Veliki mesto participated in the football tournament. There were 9 more teams from the Big City than from the Small City. Each team met exactly once, with the winning team getting 1 point, the losing team getting 0 points, and no draw possible. Teams from the Big City won 9 times as many points as teams from the Small City. Determine the maximum possible number of wins for the best team from the Little City.