September 2026 - Problem of the Month

Four players had a Tic-Tac-Toe tournament. 

Each player played every other player only once. 

No player lost all of their games, and there were no ties. 

Anna and Desi each won two games. 

How many games did each of Ben and Chin win?

Give it a try!

 

Solution

With four players, there are 6 games:

AB, AC, AD, BC, BD, and CD.

If Anna and Desi each won 2 games, then Ben and Chin won the remaining 2 games combined. 

Therefore, Ben and Chin each won 1 game.

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