Brackets / Single elimination / 31 teams

31-team single elimination bracket

30 games over 5 rounds. Seed 1 gets a bye into round 2.

Round 1 Round 2 Quarterfinals Semifinals Final G1 16 17 G2 8 25 G3 9 24 G4 4 29 G5 13 20 G6 5 28 G7 12 21 G8 2 31 G9 15 18 G10 7 26 G11 10 23 G12 3 30 G13 14 19 G14 6 27 G15 11 22 G16 1 bye Winner G1 G17 Winner G2 Winner G3 G18 Winner G4 Winner G5 G19 Winner G6 Winner G7 G20 Winner G8 Winner G9 G21 Winner G10 Winner G11 G22 Winner G12 Winner G13 G23 Winner G14 Winner G15 G24 Winner G16 Winner G17 G25 Winner G18 Winner G19 G26 Winner G20 Winner G21 G27 Winner G22 Winner G23 G28 Winner G24 Winner G25 G29 Winner G26 Winner G27 G30 Winner G28 Winner G29

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31teams
30games to a champion
5rounds
1seed gets a bye

The shape of a 31-team bracket

31 is one short of 32, so there is a single bye and it goes to seed 1. The other 30 teams play 15 round-1 games, from 16 v 17 down to 11 v 22, and seed 1 joins the winners in round 2.

If the favourites win

That puts seed 1 against seed 4 and seed 2 against seed 3 in the semifinals.

SeedOpponents if favourites win (game)
1bye, then 16 (G16), 8 (G24), 4 (G28), 2 (G30)
231 (G8), 15 (G20), 7 (G26), 3 (G29), 1 (G30)
330 (G12), 14 (G22), 6 (G27), 2 (G29)
429 (G4), 13 (G18), 5 (G25), 1 (G28)

How many games each team plays

The fewest is 1, for a team that loses its first game, which for a bye team is its round-2 game. The most is 5, and 4 for a champion that had a bye. In the favourites-win run, seed 1 plays 4 and seed 31 plays 1.

How long it takes

30 games at 30 minutes is 15 h of court time. No round has more than 15 games, so extra courts beyond that sit idle.

CourtsClock time
115 h
28 h
44 h 30 min

Every game in order

GameRoundTeam ATeam B
G1Round 1Seed 16Seed 17
G2Round 1Seed 8Seed 25
G3Round 1Seed 9Seed 24
G4Round 1Seed 4Seed 29
G5Round 1Seed 13Seed 20
G6Round 1Seed 5Seed 28
G7Round 1Seed 12Seed 21
G8Round 1Seed 2Seed 31
G9Round 1Seed 15Seed 18
G10Round 1Seed 7Seed 26
G11Round 1Seed 10Seed 23
G12Round 1Seed 3Seed 30
G13Round 1Seed 14Seed 19
G14Round 1Seed 6Seed 27
G15Round 1Seed 11Seed 22
G16Round 2Seed 1Winner of G1
G17Round 2Winner of G2Winner of G3
G18Round 2Winner of G4Winner of G5
G19Round 2Winner of G6Winner of G7
G20Round 2Winner of G8Winner of G9
G21Round 2Winner of G10Winner of G11
G22Round 2Winner of G12Winner of G13
G23Round 2Winner of G14Winner of G15
G24QuarterfinalsWinner of G16Winner of G17
G25QuarterfinalsWinner of G18Winner of G19
G26QuarterfinalsWinner of G20Winner of G21
G27QuarterfinalsWinner of G22Winner of G23
G28SemifinalsWinner of G24Winner of G25
G29SemifinalsWinner of G26Winner of G27
G30FinalWinner of G28Winner of G29

Questions

How many games are in a 31-team single elimination bracket?

30.

How many rounds does a 31-team single elimination bracket have?

5 rounds.

Who gets the byes with 31 teams?

Seed 1. It starts in round 2.

Can I add a third-place game to a 31-team bracket?

Yes. The two semifinal losers play once more, which makes 31 games.

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