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Ana, Bruno and Carolina played table tennis - Portugal OPM 2023 p1

Source:

May 15, 2024
combinatoricsalgebra

Problem Statement

Ana, Bruno and Carolina played table tennis with each other. In each game, only two of the friends played, with the third one resting. Every time one of the friends won a game, they rested during the next game. Ana played 1212 games, Bruno played 2121 games and Carolina rested for8 8 games. Who rested in the last game?