Round robin calculator
How many matches, how many rounds and how long it takes, for any number of teams or players. A round robin has teams × (teams − 1) ÷ 2 matches: 8 teams play 28.
Times count playing time only; add changeovers and breaks.
Round robin
Double round robin
Knockout (single elimination)
Double elimination & Swiss
The formulas
- Round robin matches: n × (n − 1) ÷ 2. Each of the n teams plays n − 1 matches, and every match has two teams.
- Round robin rounds: n − 1 when n is even; n when n is odd, with one team sitting out each round.
- Matches per round: n ÷ 2, rounded down. That's how many courts you need to play a whole round at once.
- Double round robin: n × (n − 1) matches over twice the rounds.
- Knockout: n − 1 matches. The bracket is the next power of two at or above n (2, 4, 8, 16, 32…), and the rounds are log₂ of that: 12 teams use a 16-slot bracket, so 4 rounds with 4 byes.
- Double elimination: 2n − 2 matches, or 2n − 1 with a grand-final reset.
- Swiss: about log₂ n rounds, rounded up (Tournament Generator suggests a minimum of 2), with n ÷ 2 matches per round.
Matches and rounds for 3 to 32 teams
| Teams | Round robin matches | Rounds | Matches per round | Double round robin | Knockout matches | Knockout rounds | Byes |
|---|---|---|---|---|---|---|---|
| 3 | 3 | 3 | 1 | 6 | 2 | 2 | 1 |
| 4 | 6 | 3 | 2 | 12 | 3 | 2 | 0 |
| 5 | 10 | 5 | 2 | 20 | 4 | 3 | 3 |
| 6 | 15 | 5 | 3 | 30 | 5 | 3 | 2 |
| 7 | 21 | 7 | 3 | 42 | 6 | 3 | 1 |
| 8 | 28 | 7 | 4 | 56 | 7 | 3 | 0 |
| 9 | 36 | 9 | 4 | 72 | 8 | 4 | 7 |
| 10 | 45 | 9 | 5 | 90 | 9 | 4 | 6 |
| 11 | 55 | 11 | 5 | 110 | 10 | 4 | 5 |
| 12 | 66 | 11 | 6 | 132 | 11 | 4 | 4 |
| 13 | 78 | 13 | 6 | 156 | 12 | 4 | 3 |
| 14 | 91 | 13 | 7 | 182 | 13 | 4 | 2 |
| 15 | 105 | 15 | 7 | 210 | 14 | 4 | 1 |
| 16 | 120 | 15 | 8 | 240 | 15 | 4 | 0 |
| 17 | 136 | 17 | 8 | 272 | 16 | 5 | 15 |
| 18 | 153 | 17 | 9 | 306 | 17 | 5 | 14 |
| 19 | 171 | 19 | 9 | 342 | 18 | 5 | 13 |
| 20 | 190 | 19 | 10 | 380 | 19 | 5 | 12 |
| 21 | 210 | 21 | 10 | 420 | 20 | 5 | 11 |
| 22 | 231 | 21 | 11 | 462 | 21 | 5 | 10 |
| 23 | 253 | 23 | 11 | 506 | 22 | 5 | 9 |
| 24 | 276 | 23 | 12 | 552 | 23 | 5 | 8 |
| 25 | 300 | 25 | 12 | 600 | 24 | 5 | 7 |
| 26 | 325 | 25 | 13 | 650 | 25 | 5 | 6 |
| 27 | 351 | 27 | 13 | 702 | 26 | 5 | 5 |
| 28 | 378 | 27 | 14 | 756 | 27 | 5 | 4 |
| 29 | 406 | 29 | 14 | 812 | 28 | 5 | 3 |
| 30 | 435 | 29 | 15 | 870 | 29 | 5 | 2 |
| 31 | 465 | 31 | 15 | 930 | 30 | 5 | 1 |
| 32 | 496 | 31 | 16 | 992 | 31 | 5 | 0 |
Linked numbers open a ready-made, printable round robin schedule for that many teams or players.
Make the schedule
Once you know the numbers, the free round robin generator builds the schedule for your courts, and the bracket generator draws a knockout. For doubles with rotating partners, use the pickleball round robin generator or the padel Americano generator. To pick how many Swiss rounds, see how many Swiss rounds.
FAQ
How many matches are in a round robin?
Teams × (teams − 1) ÷ 2. Each team plays every other team once, and each match involves two teams, so 8 teams play 8 × 7 ÷ 2 = 28 matches.
How many rounds does a round robin take?
With an even number of teams, teams − 1 rounds and nobody sits out. With an odd number, as many rounds as teams, and one team sits out each round, so every team sits out exactly once.
How many games are in an 8-team round robin?
28 matches over 7 rounds, with 4 matches each round. On 2 courts that's 14 time slots; at 15 minutes a match, about 3.5 hours of play.
How many games are in a 7-team round robin?
21 matches over 7 rounds. Each round has 3 matches and one team sits out, so you need 3 courts to play a round at once.
And 10, 12 or 16 teams?
10 teams: 45 matches over 9 rounds. 12 teams: 66 matches over 11 rounds. 16 teams: 120 matches over 15 rounds. The table below has every size from 3 to 32.
How many matches in a double round robin?
Twice as many: teams × (teams − 1). Everyone plays everyone twice, usually once at home and once away.
How many matches in a knockout?
Teams − 1, because every match knocks out exactly one team and everyone but the winner is knocked out once. 12 teams play 11 matches over 4 rounds, with 4 byes in round 1 so that round 2 has 8 teams. Add one for a 3rd-place playoff.
How many matches in a double elimination?
2 × teams − 2, or 2 × teams − 1 if the grand final has to be played twice. Every team except the champion loses twice, and the champion loses once at most.
How long will my round robin take?
Divide the matches into time slots on your courts, then multiply by the length of a match. The calculator does this with the same scheduler as the free round robin generator, so the slots match the schedule it prints. Add time for changeovers and breaks.
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