DrawMyFixture

41 team knockout fixture

41 teams: 23 byes, 18 teams play Round I, 40 matches over 6 rounds.

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Knockout fixture — 41 teams · 23 byes · 40 matches · 6 rounds

TournamentVenueDate

Knockout fixture, 41 teams — upper half23 byes. 21 teams in the upper half, 20 in the lower half.Round IRound IIRound IIIRound IVSemi-finalFinalUPPER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4BYETeam 5BYETeam 6BYETeam 7Team 8Team 9Team 10Team 11Team 12Team 13Team 14Team 15Team 16Team 17BYETeam 18BYETeam 19BYETeam 20BYETeam 21BYETeam 1Team 2Team 3Team 4Team 5Team 6Team 17Team 18Team 19Team 20Team 2112345101112131415161726272829343538Final: Match 40
BYE = no match in Round I. Numbers in circles are match numbers.
Knockout fixture, 41 teams — lower half23 byes. 21 teams in the upper half, 20 in the lower half.Round IRound IIRound IIIRound IVSemi-finalFinalLOWER HALFTeam 22BYETeam 23BYETeam 24BYETeam 25BYETeam 26BYETeam 27BYETeam 28Team 29Team 30Team 31Team 32Team 33Team 34Team 35Team 36BYETeam 37BYETeam 38BYETeam 39BYETeam 40BYETeam 41BYETeam 22Team 23Team 24Team 25Team 26Team 27Team 36Team 37Team 38Team 39Team 40Team 416789181920212223242530313233363739Final: Match 40
BYE = no match in Round I. Numbers in circles are match numbers.
41 teams: 23 byes, 40 matches, 6 rounds.
Total byes
23
teams that do not play Round 1
Byes in each half
Upper 11Lower 12
Teams in each half
Upper 21Lower 20
Total matches
40
not including a third-place match
Total rounds
6
worked out from the textbook illustrations
Byes go to teams
1, 2, 3, 4, 5, 6, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 36, 37, 38, 39, 40, 41
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 portrait.

Add team names

Names fill serial numbers 1 to 41 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, 41 teams23 byes. 21 teams in the upper half, 20 in the lower half.Round IRound IIRound IIIRound IVSemi-finalFinalUPPER HALFLOWER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4BYETeam 5BYETeam 6BYETeam 7Team 8Team 9Team 10Team 11Team 12Team 13Team 14Team 15Team 16Team 17BYETeam 18BYETeam 19BYETeam 20BYETeam 21BYETeam 22BYETeam 23BYETeam 24BYETeam 25BYETeam 26BYETeam 27BYETeam 28Team 29Team 30Team 31Team 32Team 33Team 34Team 35Team 36BYETeam 37BYETeam 38BYETeam 39BYETeam 40BYETeam 41BYETeam 1Team 2Team 3Team 4Team 5Team 6Team 17Team 18Team 19Team 20Team 21Team 22Team 23Team 24Team 25Team 26Team 27Team 36Team 37Team 38Team 39Team 40Team 41Winner12345678910111213141516171819202122232425262728293031323334353637383940
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. Team 4 gets a bye
  5. Team 5 gets a bye
  6. Team 6 gets a bye
  7. Match 1: Team 7 vs Team 8
  8. Match 2: Team 9 vs Team 10
  9. Match 3: Team 11 vs Team 12
  10. Match 4: Team 13 vs Team 14
  11. Match 5: Team 15 vs Team 16
  12. Team 17 gets a bye
  13. Team 18 gets a bye
  14. Team 19 gets a bye
  15. Team 20 gets a bye
  16. Team 21 gets a bye
  17. Team 22 gets a bye
  18. Team 23 gets a bye
  19. Team 24 gets a bye
  20. Team 25 gets a bye
  21. Team 26 gets a bye
  22. Team 27 gets a bye
  23. Match 6: Team 28 vs Team 29
  24. Match 7: Team 30 vs Team 31
  25. Match 8: Team 32 vs Team 33
  26. Match 9: Team 34 vs Team 35
  27. Team 36 gets a bye
  28. Team 37 gets a bye
  29. Team 38 gets a bye
  30. Team 39 gets a bye
  31. Team 40 gets a bye
  32. Team 41 gets a bye

Round II

  1. Match 10: Team 1 vs Team 2
  2. Match 11: Team 3 vs Team 4
  3. Match 12: Team 5 vs Team 6
  4. Match 13: Winner of Match 1 vs Winner of Match 2
  5. Match 14: Winner of Match 3 vs Winner of Match 4
  6. Match 15: Winner of Match 5 vs Team 17
  7. Match 16: Team 18 vs Team 19
  8. Match 17: Team 20 vs Team 21
  9. Match 18: Team 22 vs Team 23
  10. Match 19: Team 24 vs Team 25
  11. Match 20: Team 26 vs Team 27
  12. Match 21: Winner of Match 6 vs Winner of Match 7
  13. Match 22: Winner of Match 8 vs Winner of Match 9
  14. Match 23: Team 36 vs Team 37
  15. Match 24: Team 38 vs Team 39
  16. Match 25: Team 40 vs Team 41

Round III

  1. Match 26: Winner of Match 10 vs Winner of Match 11
  2. Match 27: Winner of Match 12 vs Winner of Match 13
  3. Match 28: Winner of Match 14 vs Winner of Match 15
  4. Match 29: Winner of Match 16 vs Winner of Match 17
  5. Match 30: Winner of Match 18 vs Winner of Match 19
  6. Match 31: Winner of Match 20 vs Winner of Match 21
  7. Match 32: Winner of Match 22 vs Winner of Match 23
  8. Match 33: Winner of Match 24 vs Winner of Match 25

Round IV

  1. Match 34: Winner of Match 26 vs Winner of Match 27
  2. Match 35: Winner of Match 28 vs Winner of Match 29
  3. Match 36: Winner of Match 30 vs Winner of Match 31
  4. Match 37: Winner of Match 32 vs Winner of Match 33

Semi-final

  1. Match 38: Winner of Match 34 vs Winner of Match 35
  2. Match 39: Winner of Match 36 vs Winner of Match 37

Final

  1. Match 40: Winner of Match 38 vs Winner of Match 39

Match list

Knockout fixture — 41 teams
Match no.RoundMatchDateTimeVenue
1Round ITeam 7 vs Team 8
2Round ITeam 9 vs Team 10
3Round ITeam 11 vs Team 12
4Round ITeam 13 vs Team 14
5Round ITeam 15 vs Team 16
6Round ITeam 28 vs Team 29
7Round ITeam 30 vs Team 31
8Round ITeam 32 vs Team 33
9Round ITeam 34 vs Team 35
10Round IITeam 1 vs Team 2
11Round IITeam 3 vs Team 4
12Round IITeam 5 vs Team 6
13Round IIWinner of Match 1 vs Winner of Match 2
14Round IIWinner of Match 3 vs Winner of Match 4
15Round IIWinner of Match 5 vs Team 17
16Round IITeam 18 vs Team 19
17Round IITeam 20 vs Team 21
18Round IITeam 22 vs Team 23
19Round IITeam 24 vs Team 25
20Round IITeam 26 vs Team 27
21Round IIWinner of Match 6 vs Winner of Match 7
22Round IIWinner of Match 8 vs Winner of Match 9
23Round IITeam 36 vs Team 37
24Round IITeam 38 vs Team 39
25Round IITeam 40 vs Team 41
26Round IIIWinner of Match 10 vs Winner of Match 11
27Round IIIWinner of Match 12 vs Winner of Match 13
28Round IIIWinner of Match 14 vs Winner of Match 15
29Round IIIWinner of Match 16 vs Winner of Match 17
30Round IIIWinner of Match 18 vs Winner of Match 19
31Round IIIWinner of Match 20 vs Winner of Match 21
32Round IIIWinner of Match 22 vs Winner of Match 23
33Round IIIWinner of Match 24 vs Winner of Match 25
34Round IVWinner of Match 26 vs Winner of Match 27
35Round IVWinner of Match 28 vs Winner of Match 29
36Round IVWinner of Match 30 vs Winner of Match 31
37Round IVWinner of Match 32 vs Winner of Match 33
38Semi-finalWinner of Match 34 vs Winner of Match 35
39Semi-finalWinner of Match 36 vs Winner of Match 37
40FinalWinner of Match 38 vs Winner of Match 39

Byes (no match in Round I): Team 1, Team 2, Team 3, Team 4, Team 5, Team 6, Team 17, Team 18, Team 19, Team 20, Team 21, Team 22, Team 23, Team 24, Team 25, Team 26, Team 27, Team 36, Team 37, Team 38, Team 39, Team 40, Team 41. Total matches = 40.

How this was calculated

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

    Total Number of Matches = 41 − 1

    = 40

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

    (41 + 1) ÷ 2

    = 21

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

    (41 − 1) ÷ 2

    = 20

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

    Byes = 64 − 41

    = 23

  5. Upper Half = (Byes − 1) ÷ 2

    Upper Half = (23 − 1) ÷ 2

    = 11

  6. Lower Half = (Byes + 1) ÷ 2

    Lower Half = (23 + 1) ÷ 2

    = 12

  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 41, 1, 22, 21, 40, 2, 23, 20, 39, 3, 24, 19, 38, 4, 25, 18, 37, 5, 26, 17, 36, 6, 27

    = 41, 1, 22, 21, 40, 2, 23, 20, 39, 3, 24, 19, 38, 4, 25, 18, 37, 5, 26, 17, 36, 6, 27

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

    64 = 2 × 2 × 2 × 2 × 2 × 2

    = 6

    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 41 team fixture is drawn

Upper half and lower half

41 is odd, so the upper half gets (41 + 1) ÷ 2 = 21 teams (Teams 1–21) and the lower half gets (41 − 1) ÷ 2 = 20 teams (Teams 22–41).

Byes

Byes = next power of 2 − number of teams = 64 − 41 = 23. 23 is odd, so the upper half gets (23 − 1) ÷ 2 = 11 byes and the lower half gets (23 + 1) ÷ 2 = 12 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 41 teams:

  1. Team 41 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 22 — first team of the lower half
  4. Team 21 — last team of the upper half
  5. Team 40 — 2nd-last team of the lower half
  6. Team 2 — 2nd team of the upper half
  7. Team 23 — 2nd team of the lower half
  8. Team 20 — 2nd-last team of the upper half
  9. Team 39 — 3rd-last team of the lower half
  10. Team 3 — 3rd team of the upper half
  11. Team 24 — 3rd team of the lower half
  12. Team 19 — 3rd-last team of the upper half
  13. Team 38 — 4th-last team of the lower half
  14. Team 4 — 4th team of the upper half
  15. Team 25 — 4th team of the lower half
  16. Team 18 — 4th-last team of the upper half
  17. Team 37 — 5th-last team of the lower half
  18. Team 5 — 5th team of the upper half
  19. Team 26 — 5th team of the lower half
  20. Team 17 — 5th-last team of the upper half
  21. Team 36 — 6th-last team of the lower half
  22. Team 6 — 6th team of the upper half
  23. Team 27 — 6th 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

41 − 23 = 18 teams play Round I in 9 matches:

  • Match 1: Team 7 vs Team 8
  • Match 2: Team 9 vs Team 10
  • Match 3: Team 11 vs Team 12
  • Match 4: Team 13 vs Team 14
  • Match 5: Team 15 vs Team 16
  • Match 6: Team 28 vs Team 29
  • Match 7: Team 30 vs Team 31
  • Match 8: Team 32 vs Team 33
  • Match 9: Team 34 vs Team 35

Total number of matches = number of teams − 1 = 41 − 1 = 40 (not including a third-place match). There are 6 rounds, because 64 = 2 × 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 41 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.

Questions

How many byes are there in a 41 team knockout fixture?

Byes = next power of 2 − number of teams = 64 − 41 = 23. 23 is odd, so the upper half gets (23 − 1) ÷ 2 = 11 byes and the lower half gets (23 + 1) ÷ 2 = 12 byes. The byes go, in order, to teams 41, 1, 22, 21, 40, 2, 23, 20, 39, 3, 24, 19, 38, 4, 25, 18, 37, 5, 26, 17, 36, 6 and 27. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 41 teams?

Total number of matches = number of teams − 1 = 41 − 1 = 40, not including a third-place match. There are 6 rounds, because 64 = 2 × 2 × 2 × 2 × 2 × 2 (worked out from the textbook illustrations, not a textbook formula).

How are 41 teams divided into the upper and lower half?

41 is odd, so the upper half gets (41 + 1) ÷ 2 = 21 teams (Teams 1–21) and the lower half gets (41 − 1) ÷ 2 = 20 teams (Teams 22–41).

Can I print the 41 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 41 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.