Round Robin Generator

How many games in a round robin?

With n teams, every team plays n − 1 games, and the whole round robin has n × (n − 1) ÷ 2 games. An even number of teams needs n − 1 rounds; an odd number needs n rounds, because one team sits out each round.

• 4 teams: 6 games, 3 rounds
• 5 teams: 10 games, 5 rounds
• 6 teams: 15 games, 5 rounds
• 7 teams: 21 games, 7 rounds
• 8 teams: 28 games, 7 rounds
• 9 teams: 36 games, 9 rounds
• 10 teams: 45 games, 9 rounds
• 12 teams: 66 games, 11 rounds
• 14 teams: 91 games, 13 rounds
• 16 teams: 120 games, 15 rounds
• 20 teams: 190 games, 19 rounds

The count grows with the square of the field: double the teams and you roughly quadruple the games. That’s why round robins shine for small groups and leagues, and why bigger events split into groups.

How the schedule is built

The generator uses the circle method, the classic way to make a round robin schedule by hand. Picture the teams seated around a table with team 1 fixed in its seat. Each round, the teams facing each other play. Then everyone except team 1 moves one seat around the circle, and the next round’s pairs appear. After n − 1 moves, every pair has met exactly once.

With 6 teams, a schedule might open with 1 v 6, 2 v 5 and 3 v 4, then continue with 1 v 5, 6 v 4 and 2 v 3. Each round uses every team once, so nobody plays twice in a day while another team waits.

With an odd number of teams, the method adds an empty seat. Whoever sits across from it has the bye that round. With 7 teams, every team sits out exactly once in the 7 rounds and plays 6 games.

Too many games? Split into groups

Groups (or pools) keep the fairness of a round robin without the explosion in games. Each group plays its own round robin:

• 12 teams: one round robin is 66 games; 2 groups of 6 take 30, 3 groups of 4 take 18.
• 16 teams: 120 games as one league; 4 groups of 4 take 24.
• 20 teams: 190 games as one league; 4 groups of 5 take 40, 5 groups of 4 take 30.
• 24 teams: 6 groups of 4 take 36.

The generator spreads the top seeds across the groups (seed 1 in the first group, seed 2 in the second, and so on), so no group is stacked. Groups of 4 are the sweet spot: three games each and a real chance for every team. Afterward, list the group winners and runners-up in order and make a single elimination bracket for the playoffs.

Double round robin: home and away

In a double round robin every pair meets twice, once at home and once away. The game count doubles to n × (n − 1): 6 teams play 30 games over 10 rounds, and 8 teams play 56 over 14. It’s the standard shape for a league season, for chess or checkers, where each player should get the first move once, and for small video-game leagues.

Standings, points and tiebreakers

The table ranks teams by points, then by tiebreakers in the order you choose. Your sport sets sensible defaults: soccer gives 3 points for a win and 1 for a draw, hockey 2 and 1, chess 1 and a half. Sports without draws simply count wins.

• Head-to-head looks only at the games between the tied teams. With three or more teams tied, it builds a mini-table from the games among them. If that still can’t separate them, say A beat B, B beat C and C beat A, the next tiebreaker decides.
• Differential is points, goals, runs or sets scored minus conceded.
• Scored and wins reward attacking play and decisive results.
• Random draw goes last, for the rare tie nothing else breaks.

Publish your tiebreak order before the first game. If you use differential in a youth or rec event, consider a cap per game so nobody runs up the score.

Fitting it into a day or a season

Each round has half as many games as there are teams, so 8 teams play 4 games per round. With enough courts for all of them, a round is one wave of play. With fewer, it takes several: 8 teams on 2 courts need 2 waves per round, 14 waves in all. Six teams on 3 courts finish all 15 games in 5 waves, an easy afternoon at 45 minutes a game.

For a weekly league, one round is one week: 10 teams fill a 9-week season, or 18 weeks home and away. Mark a forfeit when a team doesn’t show, and the standings stay honest. The pickleball round robin page covers the other kind of round robin, where players rotate partners every round.

Print the fixtures or share them

Print gives you the full fixture list by round plus the standings table, with a QR code to the shared page. Players who open the link see the standings and an “Up next” list of games, so the question “who do we play next?” answers itself. For a bracket-style event instead, see the double elimination bracket.