DrawMyFixture

21 team knockout fixture

21 teams: 11 byes, 10 teams play Round I, 20 matches over 5 rounds.

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Knockout fixture — 21 teams · 11 byes · 20 matches · 5 rounds

TournamentVenueDate

Knockout fixture, 21 teams — upper half11 byes. 11 teams in the upper half, 10 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4Team 5Team 6Team 7Team 8Team 9Team 10BYETeam 11BYETeam 1Team 2Team 3Team 10Team 111236789141518Final: Match 20
BYE = no match in Round I. Numbers in circles are match numbers.
Knockout fixture, 21 teams — lower half11 byes. 11 teams in the upper half, 10 in the lower half.Round IRound IIRound IIISemi-finalFinalLOWER HALFTeam 12BYETeam 13BYETeam 14BYETeam 15Team 16Team 17Team 18Team 19BYETeam 20BYETeam 21BYETeam 12Team 13Team 14Team 19Team 20Team 214510111213161719Final: Match 20
BYE = no match in Round I. Numbers in circles are match numbers.
21 teams: 11 byes, 20 matches, 5 rounds.
Total byes
11
teams that do not play Round 1
Byes in each half
Upper 5Lower 6
Teams in each half
Upper 11Lower 10
Total matches
20
not including a third-place match
Total rounds
5
worked out from the textbook illustrations
Byes go to teams
1, 2, 3, 10, 11, 12, 13, 14, 19, 20, 21
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 21 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, 21 teams11 byes. 11 teams in the upper half, 10 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFLOWER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4Team 5Team 6Team 7Team 8Team 9Team 10BYETeam 11BYETeam 12BYETeam 13BYETeam 14BYETeam 15Team 16Team 17Team 18Team 19BYETeam 20BYETeam 21BYETeam 1Team 2Team 3Team 10Team 11Team 12Team 13Team 14Team 19Team 20Team 21Winner1234567891011121314151617181920
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. Team 3 gets a bye
  4. Match 1: Team 4 vs Team 5
  5. Match 2: Team 6 vs Team 7
  6. Match 3: Team 8 vs Team 9
  7. Team 10 gets a bye
  8. Team 11 gets a bye
  9. Team 12 gets a bye
  10. Team 13 gets a bye
  11. Team 14 gets a bye
  12. Match 4: Team 15 vs Team 16
  13. Match 5: Team 17 vs Team 18
  14. Team 19 gets a bye
  15. Team 20 gets a bye
  16. Team 21 gets a bye

Round II

  1. Match 6: Team 1 vs Team 2
  2. Match 7: Team 3 vs Winner of Match 1
  3. Match 8: Winner of Match 2 vs Winner of Match 3
  4. Match 9: Team 10 vs Team 11
  5. Match 10: Team 12 vs Team 13
  6. Match 11: Team 14 vs Winner of Match 4
  7. Match 12: Winner of Match 5 vs Team 19
  8. Match 13: Team 20 vs Team 21

Round III

  1. Match 14: Winner of Match 6 vs Winner of Match 7
  2. Match 15: Winner of Match 8 vs Winner of Match 9
  3. Match 16: Winner of Match 10 vs Winner of Match 11
  4. Match 17: Winner of Match 12 vs Winner of Match 13

Semi-final

  1. Match 18: Winner of Match 14 vs Winner of Match 15
  2. Match 19: Winner of Match 16 vs Winner of Match 17

Final

  1. Match 20: Winner of Match 18 vs Winner of Match 19

Match list

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

Byes (no match in Round I): Team 1, Team 2, Team 3, Team 10, Team 11, Team 12, Team 13, Team 14, Team 19, Team 20, Team 21. Total matches = 20.

How this was calculated

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

    Total Number of Matches = 21 − 1

    = 20

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

    (21 + 1) ÷ 2

    = 11

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

    (21 − 1) ÷ 2

    = 10

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

    Byes = 32 − 21

    = 11

  5. Upper Half = (Byes − 1) ÷ 2

    Upper Half = (11 − 1) ÷ 2

    = 5

  6. Lower Half = (Byes + 1) ÷ 2

    Lower Half = (11 + 1) ÷ 2

    = 6

  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 21, 1, 12, 11, 20, 2, 13, 10, 19, 3, 14

    = 21, 1, 12, 11, 20, 2, 13, 10, 19, 3, 14

  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 21 team fixture is drawn

Upper half and lower half

21 is odd, so the upper half gets (21 + 1) ÷ 2 = 11 teams (Teams 1–11) and the lower half gets (21 − 1) ÷ 2 = 10 teams (Teams 12–21).

Byes

Byes = next power of 2 − number of teams = 32 − 21 = 11. 11 is odd, so the upper half gets (11 − 1) ÷ 2 = 5 byes and the lower half gets (11 + 1) ÷ 2 = 6 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 21 teams:

  1. Team 21 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 12 — first team of the lower half
  4. Team 11 — last team of the upper half
  5. Team 20 — 2nd-last team of the lower half
  6. Team 2 — 2nd team of the upper half
  7. Team 13 — 2nd team of the lower half
  8. Team 10 — 2nd-last team of the upper half
  9. Team 19 — 3rd-last team of the lower half
  10. Team 3 — 3rd team of the upper half
  11. Team 14 — 3rd 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

21 − 11 = 10 teams play Round I in 5 matches:

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

Total number of matches = number of teams − 1 = 21 − 1 = 20 (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 21 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 21 team knockout fixture?

Byes = next power of 2 − number of teams = 32 − 21 = 11. 11 is odd, so the upper half gets (11 − 1) ÷ 2 = 5 byes and the lower half gets (11 + 1) ÷ 2 = 6 byes. The byes go, in order, to teams 21, 1, 12, 11, 20, 2, 13, 10, 19, 3 and 14. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 21 teams?

Total number of matches = number of teams − 1 = 21 − 1 = 20, 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 21 teams divided into the upper and lower half?

21 is odd, so the upper half gets (21 + 1) ÷ 2 = 11 teams (Teams 1–11) and the lower half gets (21 − 1) ÷ 2 = 10 teams (Teams 12–21).

Can I print the 21 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 21 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.