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AMO 2027 Grades 2-3 SET 2 - Self-study Question 10

AMO · AMO 2027 Grades 2-3 SET 2 - Self-study

Question 10

In a chess tournament, each player has to play one game with every other player. Six players, Albert, Ben, Charles, Dennis, Ethan and Francis, took part in the tournament. So far, Albert has played 5 games, Ben has played 4 games, Charles has played 3 games, Dennis has played 2 games and Ethan has played 1 game. How many games has Francis played?