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TOT 382 1993 Autumn O J4 three players- tournament

Source:

June 12, 2024
combinatoricsalgebra

Problem Statement

Three players Alexander, Beverley and Catherine participate in a tournament (all of them play the same number of games with each other). Is it possible that Alexander gets more points than the others, Catherine gets less points than the others, but Alexander has a smaller number of wins than the others and Catherine has a greater number of wins than the others? (A win scores 11 point, a draw scores 12\frac12.)
(A Rubin,)