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Mathematics, 14.10.2021 23:30 Jennifer2019

7 different people get together to play their favourite game. These people are very predictable, and they each have a different amount of skill at the game. Each person will always defeat anybody with less skill than them. These 7 people play a tournament, where each person plays 2 matches with 2 of their peers. Every person who wins both of their games is a winner. What is the maximum possible number of winners?

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