# The Lowest Score!

**Discrete Mathematics**Level 3

In a chess tournament, players get 1 point for a win, 0 points for a loss and \(\frac{1}{2}\) point for a draw. In a tournament where every player plays against every other player exactly once, the top four scores were 5\(\frac{1}{2}\) , 4\(\frac{1}{2}\) , 4 and 2\(\frac{1}{2}\) . What was the lowest score in the tournament?