The Mathematician's Arm Wrestle Tournament
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.
Which of the score sheets reflects possible scores for that year?