Round Robin Matches Calculator

Work out round robin matches instantly with clear inputs, formula shown and shareable results.

About Round Robin Matches Calculator

A single round robin needs n x (n - 1) / 2 matches, which is the number of unordered pairs; an odd number of teams requires n rounds because one team sits out each round. Because the total grows with the square of the entry count, adding four teams to a twelve team league adds more than half again as many fixtures.

Formulas

Match count

matches = n x (n - 1) / 2 x meetings per pair

Rounds

rounds = (n - 1) for even n, or n for odd n, times meetings per pair

Worked example

With the default values below, Round Robin Matches Calculator returns Total matches of 90. Change any input above and every figure here is recalculated in your browser.

Inputs used

Number of teamsminimum 2: 10
Times each pair meetsminimum 1: 2

Results

Total matches: 90
Matches in a single round robin: 45
Rounds of fixtures needed: 18
Matches each team plays: 18

Step by step

1Values used
2Match count
3Rounds
4Total matches= 90
5Matches in a single round robin= 45
6Rounds of fixtures needed= 18
7Matches each team plays= 18

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is the Round Robin Matches figure worked out?

matches = n x (n - 1) / 2 x meetings per pair. A single round robin needs n x (n - 1) / 2 matches, which is the number of unordered pairs; an odd number of teams requires n rounds because one team sits out each round.

Why does this matter?

Because the total grows with the square of the entry count, adding four teams to a twelve team league adds more than half again as many fixtures.

What do I need to enter?

Enter number of teams, times each pair meets. The defaults shown are a realistic worked example — swap in your own figures to get a result you can use.