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10

Part of 2023 Junior Balkan Team Selection Tests - Moldova

Problems(1)

In a chess tournament participated $100$ players

Source: Moldova JTST 2023

5/5/2023
In a chess tournament participated 100 100 players. Every player played one game with every other player. For a win 11 point is given, for loss 0 0 and for a draw both players get 0,50,5 points. Ion got more points than every other player. Mihai lost only one game, but got less points than every other player. Find all possible values of the difference between the points accumulated by Ion and the points accumulated by Mihai.
combinatorics