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MathNet 2026 — Part 05 Question 47

Math Olympiad Vault · MathNet 2026 — Part 05

Question 47

In a tournament with $N$ players, $N \lt 10$, each player plays once against each other player scoring 1 point for a win and 0 points for a loss. Draws do not occur. In a particular tournament only one player ended with an odd number of points and was ranked fourth. Determine whether or not this is possible. If so, how many wins did the player have?