Reasoning

Number of Matches in Tournament

Find total matches when each team plays every other team once.

Number of Matches = n(n - 1)/2

Formula Explanation

This is the combination of n teams taken 2 at a time.

Variables Explained

n = number of teams.

Solved Example

How many matches among 10 teams?
10×9/2 = 45.

Exam Tip

Same as handshake formula.