Mock AIME 1 2010 Problems/Problem 4

Problem

A round robin tournament is a tournament in which every player plays every other player exactly once. There is a round robin tournament with 2010 people. In each match, the winner scores one point, and the loser scores no points. There are no ties. Find the last three digits of the greatest possible difference between the first and second highest scores appearing among the players.

Solution

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See Also

• Mock AIME 1 2010 Problems
• Preceded by Problem 3
• Followed by Problem 5