Tournaments and tournament tables

A tournament with $n$ players is a round-robin competition where each player plays every other player exactly once. The results are often recorded in a table, where rows and columns represent players, and each cell shows the outcome of the match between the corresponding pair.

Important properties

• The total number of matches in a tournament with $n$ players is $\frac{n(n-1)}{2}$.

• Each player plays $n-1$ matches.

• Tournament tables can be used to analyze scores, find winners, and check for possible or impossible results.