DrawMyFixture

23 team knockout fixture

23 teams: 9 byes, 14 teams play Round I, 22 matches over 5 rounds.

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Knockout fixture — 23 teams · 9 byes · 22 matches · 5 rounds

TournamentVenueDate

Knockout fixture, 23 teams — upper half9 byes. 12 teams in the upper half, 11 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFTeam 1BYETeam 2BYETeam 3Team 4Team 5Team 6Team 7Team 8Team 9Team 10Team 11BYETeam 12BYETeam 1Team 2Team 11Team 121234891011161720Final: Match 22
BYE = no match in Round I. Numbers in circles are match numbers.
Knockout fixture, 23 teams — lower half9 byes. 12 teams in the upper half, 11 in the lower half.Round IRound IIRound IIISemi-finalFinalLOWER HALFTeam 13BYETeam 14BYETeam 15Team 16Team 17Team 18Team 19Team 20Team 21BYETeam 22BYETeam 23BYETeam 13Team 14Team 21Team 22Team 2356712131415181921Final: Match 22
BYE = no match in Round I. Numbers in circles are match numbers.
23 teams: 9 byes, 22 matches, 5 rounds.
Total byes
9
teams that do not play Round 1
Byes in each half
Upper 4Lower 5
Teams in each half
Upper 12Lower 11
Total matches
22
not including a third-place match
Total rounds
5
worked out from the textbook illustrations
Byes go to teams
1, 2, 11, 12, 13, 14, 21, 22, 23
in serial order; the order the byes are given is in the steps below

The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.

Add team names

Names fill serial numbers 1 to 23 in order. Without names, the bracket shows Team 1, Team 2…

The textbook places teams by lottery. Shuffle gives the names random serial numbers.

Names stay in this browser only. Nothing is saved or sent.

Knockout fixture, 23 teams9 byes. 12 teams in the upper half, 11 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFLOWER HALFTeam 1BYETeam 2BYETeam 3Team 4Team 5Team 6Team 7Team 8Team 9Team 10Team 11BYETeam 12BYETeam 13BYETeam 14BYETeam 15Team 16Team 17Team 18Team 19Team 20Team 21BYETeam 22BYETeam 23BYETeam 1Team 2Team 11Team 12Team 13Team 14Team 21Team 22Team 23Winner12345678910111213141516171819202122
BYE = no match in Round I. Numbers in circles are match numbers.
Match list (text)

Round I

  1. Team 1 gets a bye
  2. Team 2 gets a bye
  3. Match 1: Team 3 vs Team 4
  4. Match 2: Team 5 vs Team 6
  5. Match 3: Team 7 vs Team 8
  6. Match 4: Team 9 vs Team 10
  7. Team 11 gets a bye
  8. Team 12 gets a bye
  9. Team 13 gets a bye
  10. Team 14 gets a bye
  11. Match 5: Team 15 vs Team 16
  12. Match 6: Team 17 vs Team 18
  13. Match 7: Team 19 vs Team 20
  14. Team 21 gets a bye
  15. Team 22 gets a bye
  16. Team 23 gets a bye

Round II

  1. Match 8: Team 1 vs Team 2
  2. Match 9: Winner of Match 1 vs Winner of Match 2
  3. Match 10: Winner of Match 3 vs Winner of Match 4
  4. Match 11: Team 11 vs Team 12
  5. Match 12: Team 13 vs Team 14
  6. Match 13: Winner of Match 5 vs Winner of Match 6
  7. Match 14: Winner of Match 7 vs Team 21
  8. Match 15: Team 22 vs Team 23

Round III

  1. Match 16: Winner of Match 8 vs Winner of Match 9
  2. Match 17: Winner of Match 10 vs Winner of Match 11
  3. Match 18: Winner of Match 12 vs Winner of Match 13
  4. Match 19: Winner of Match 14 vs Winner of Match 15

Semi-final

  1. Match 20: Winner of Match 16 vs Winner of Match 17
  2. Match 21: Winner of Match 18 vs Winner of Match 19

Final

  1. Match 22: Winner of Match 20 vs Winner of Match 21

Match list

Knockout fixture — 23 teams
Match no.RoundMatchDateTimeVenue
1Round ITeam 3 vs Team 4
2Round ITeam 5 vs Team 6
3Round ITeam 7 vs Team 8
4Round ITeam 9 vs Team 10
5Round ITeam 15 vs Team 16
6Round ITeam 17 vs Team 18
7Round ITeam 19 vs Team 20
8Round IITeam 1 vs Team 2
9Round IIWinner of Match 1 vs Winner of Match 2
10Round IIWinner of Match 3 vs Winner of Match 4
11Round IITeam 11 vs Team 12
12Round IITeam 13 vs Team 14
13Round IIWinner of Match 5 vs Winner of Match 6
14Round IIWinner of Match 7 vs Team 21
15Round IITeam 22 vs Team 23
16Round IIIWinner of Match 8 vs Winner of Match 9
17Round IIIWinner of Match 10 vs Winner of Match 11
18Round IIIWinner of Match 12 vs Winner of Match 13
19Round IIIWinner of Match 14 vs Winner of Match 15
20Semi-finalWinner of Match 16 vs Winner of Match 17
21Semi-finalWinner of Match 18 vs Winner of Match 19
22FinalWinner of Match 20 vs Winner of Match 21

Byes (no match in Round I): Team 1, Team 2, Team 11, Team 12, Team 13, Team 14, Team 21, Team 22, Team 23. Total matches = 22.

How this was calculated

  1. Total Number of Matches = Number of teams − 1 (not including third place match)

    Total Number of Matches = 23 − 1

    = 22

  2. (Number of teams + 1) ÷ 2 = Teams in Upper Half

    (23 + 1) ÷ 2

    = 12

  3. (Number of teams − 1) ÷ 2 = Teams in Lower Half

    (23 − 1) ÷ 2

    = 11

  4. Byes = next power of 2 − number of teams participating

    Byes = 32 − 23

    = 9

  5. Upper Half = (Byes − 1) ÷ 2

    Upper Half = (9 − 1) ÷ 2

    = 4

  6. Lower Half = (Byes + 1) ÷ 2

    Lower Half = (9 + 1) ÷ 2

    = 5

  7. First bye to last team of Lower Half, second to first team of Upper Half, third to first team of Lower Half, fourth to last team of Upper Half; same pattern for remaining byes

    Byes in order go to teams 23, 1, 13, 12, 22, 2, 14, 11, 21

    = 23, 1, 13, 12, 22, 2, 14, 11, 21

  8. Rounds = number of times 2 is multiplied to get the next power of 2

    32 = 2 × 2 × 2 × 2 × 2

    = 5

    Note: Not a textbook formula — worked out from the textbook illustrations (4 teams → 2 rounds, 8 → 3, 11 → 4)

SourceCBSE Physical Education Class XII, Unit 1 (PDF)

How the 23 team fixture is drawn

Upper half and lower half

23 is odd, so the upper half gets (23 + 1) ÷ 2 = 12 teams (Teams 1–12) and the lower half gets (23 − 1) ÷ 2 = 11 teams (Teams 13–23).

Byes

Byes = next power of 2 − number of teams = 32 − 23 = 9. 9 is odd, so the upper half gets (9 − 1) ÷ 2 = 4 byes and the lower half gets (9 + 1) ÷ 2 = 5 byes.

Which teams get the byes, and why

The textbook places byes in this order: the 1st bye to the last team of the lower half, the 2nd to the first team of the upper half, the 3rd to the first team of the lower half and the 4th to the last team of the upper half. The remaining byes follow the same pattern, moving inward. For 23 teams:

  1. Team 23 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 13 — first team of the lower half
  4. Team 12 — last team of the upper half
  5. Team 22 — 2nd-last team of the lower half
  6. Team 2 — 2nd team of the upper half
  7. Team 14 — 2nd team of the lower half
  8. Team 11 — 2nd-last team of the upper half
  9. Team 21 — 3rd-last team of the lower half

Teams with a bye do not play Round I. They go straight to Round II.

Round I and total matches

23 − 9 = 14 teams play Round I in 7 matches:

  • Match 1: Team 3 vs Team 4
  • Match 2: Team 5 vs Team 6
  • Match 3: Team 7 vs Team 8
  • Match 4: Team 9 vs Team 10
  • Match 5: Team 15 vs Team 16
  • Match 6: Team 17 vs Team 18
  • Match 7: Team 19 vs Team 20

Total number of matches = number of teams − 1 = 23 − 1 = 22 (not including a third-place match). There are 5 rounds, because 32 = 2 × 2 × 2 × 2 × 2 — worked out from the textbook illustrations, not a textbook formula.

Print or save as PDF

Tap “Print fixture (A4)” and choose “Save as PDF” as the printer to get a 23 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.

Questions

How many byes are there in a 23 team knockout fixture?

Byes = next power of 2 − number of teams = 32 − 23 = 9. 9 is odd, so the upper half gets (9 − 1) ÷ 2 = 4 byes and the lower half gets (9 + 1) ÷ 2 = 5 byes. The byes go, in order, to teams 23, 1, 13, 12, 22, 2, 14, 11 and 21. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 23 teams?

Total number of matches = number of teams − 1 = 23 − 1 = 22, not including a third-place match. There are 5 rounds, because 32 = 2 × 2 × 2 × 2 × 2 (worked out from the textbook illustrations, not a textbook formula).

How are 23 teams divided into the upper and lower half?

23 is odd, so the upper half gets (23 + 1) ÷ 2 = 12 teams (Teams 1–12) and the lower half gets (23 − 1) ÷ 2 = 11 teams (Teams 13–23).

Can I print the 23 team knockout fixture or save it as a PDF?

Yes. Tap “Print fixture (A4)” and choose “Save as PDF” as the printer to get a 23 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.