The Mathematician's Arm Wrestle Tournament

Discrete Mathematics Level 2

The Mathematician's Arm Wrestle Tournament is an arm wrestling tournament that takes place every year between the world's strongest mathematicians. It is a round-robin tournament where each competitor plays every other exactly once and each game can end in only a win or a loss for a given player.

In 2015, seven mighty mathematicians entered the tournament. The table below shows a list of possible scoresheets containing the number of wins for each competitor.

Scoresheet 15210256
Scoresheet 25433322
Scoresheet 33333306
Scoresheet 45411406

Which of the score sheets reflects possible scores for that year?


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