DrawMyFixture

51 team knockout fixture

51 teams: 13 byes, 38 teams play Round I, 50 matches over 6 rounds.

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Knockout fixture — 51 teams · 13 byes · 50 matches · 6 rounds

TournamentVenueDate

Knockout fixture, 51 teams — upper half13 byes. 26 teams in the upper half, 25 in the lower half.Round IRound IIRound IIIRound IVSemi-finalFinalUPPER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4Team 5Team 6Team 7Team 8Team 9Team 10Team 11Team 12Team 13Team 14Team 15Team 16Team 17Team 18Team 19Team 20Team 21Team 22Team 23Team 24BYETeam 25BYETeam 26BYETeam 1Team 2Team 3Team 24Team 25Team 2612345678910202122232425262736373839444548Final: Match 50
BYE = no match in Round I. Numbers in circles are match numbers.
Knockout fixture, 51 teams — lower half13 byes. 26 teams in the upper half, 25 in the lower half.Round IRound IIRound IIIRound IVSemi-finalFinalLOWER HALFTeam 27BYETeam 28BYETeam 29BYETeam 30Team 31Team 32Team 33Team 34Team 35Team 36Team 37Team 38Team 39Team 40Team 41Team 42Team 43Team 44Team 45Team 46Team 47Team 48BYETeam 49BYETeam 50BYETeam 51BYETeam 27Team 28Team 29Team 48Team 49Team 50Team 51111213141516171819282930313233343540414243464749Final: Match 50
BYE = no match in Round I. Numbers in circles are match numbers.
51 teams: 13 byes, 50 matches, 6 rounds.
Total byes
13
teams that do not play Round 1
Byes in each half
Upper 6Lower 7
Teams in each half
Upper 26Lower 25
Total matches
50
not including a third-place match
Total rounds
6
worked out from the textbook illustrations
Byes go to teams
1, 2, 3, 24, 25, 26, 27, 28, 29, 48, 49, 50, 51
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 51 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, 51 teams13 byes. 26 teams in the upper half, 25 in the lower half.Round IRound IIRound IIIRound IVSemi-finalFinalUPPER HALFLOWER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4Team 5Team 6Team 7Team 8Team 9Team 10Team 11Team 12Team 13Team 14Team 15Team 16Team 17Team 18Team 19Team 20Team 21Team 22Team 23Team 24BYETeam 25BYETeam 26BYETeam 27BYETeam 28BYETeam 29BYETeam 30Team 31Team 32Team 33Team 34Team 35Team 36Team 37Team 38Team 39Team 40Team 41Team 42Team 43Team 44Team 45Team 46Team 47Team 48BYETeam 49BYETeam 50BYETeam 51BYETeam 1Team 2Team 3Team 24Team 25Team 26Team 27Team 28Team 29Team 48Team 49Team 50Team 51Winner1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950
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. Match 4: Team 10 vs Team 11
  8. Match 5: Team 12 vs Team 13
  9. Match 6: Team 14 vs Team 15
  10. Match 7: Team 16 vs Team 17
  11. Match 8: Team 18 vs Team 19
  12. Match 9: Team 20 vs Team 21
  13. Match 10: Team 22 vs Team 23
  14. Team 24 gets a bye
  15. Team 25 gets a bye
  16. Team 26 gets a bye
  17. Team 27 gets a bye
  18. Team 28 gets a bye
  19. Team 29 gets a bye
  20. Match 11: Team 30 vs Team 31
  21. Match 12: Team 32 vs Team 33
  22. Match 13: Team 34 vs Team 35
  23. Match 14: Team 36 vs Team 37
  24. Match 15: Team 38 vs Team 39
  25. Match 16: Team 40 vs Team 41
  26. Match 17: Team 42 vs Team 43
  27. Match 18: Team 44 vs Team 45
  28. Match 19: Team 46 vs Team 47
  29. Team 48 gets a bye
  30. Team 49 gets a bye
  31. Team 50 gets a bye
  32. Team 51 gets a bye

Round II

  1. Match 20: Team 1 vs Team 2
  2. Match 21: Team 3 vs Winner of Match 1
  3. Match 22: Winner of Match 2 vs Winner of Match 3
  4. Match 23: Winner of Match 4 vs Winner of Match 5
  5. Match 24: Winner of Match 6 vs Winner of Match 7
  6. Match 25: Winner of Match 8 vs Winner of Match 9
  7. Match 26: Winner of Match 10 vs Team 24
  8. Match 27: Team 25 vs Team 26
  9. Match 28: Team 27 vs Team 28
  10. Match 29: Team 29 vs Winner of Match 11
  11. Match 30: Winner of Match 12 vs Winner of Match 13
  12. Match 31: Winner of Match 14 vs Winner of Match 15
  13. Match 32: Winner of Match 16 vs Winner of Match 17
  14. Match 33: Winner of Match 18 vs Winner of Match 19
  15. Match 34: Team 48 vs Team 49
  16. Match 35: Team 50 vs Team 51

Round III

  1. Match 36: Winner of Match 20 vs Winner of Match 21
  2. Match 37: Winner of Match 22 vs Winner of Match 23
  3. Match 38: Winner of Match 24 vs Winner of Match 25
  4. Match 39: Winner of Match 26 vs Winner of Match 27
  5. Match 40: Winner of Match 28 vs Winner of Match 29
  6. Match 41: Winner of Match 30 vs Winner of Match 31
  7. Match 42: Winner of Match 32 vs Winner of Match 33
  8. Match 43: Winner of Match 34 vs Winner of Match 35

Round IV

  1. Match 44: Winner of Match 36 vs Winner of Match 37
  2. Match 45: Winner of Match 38 vs Winner of Match 39
  3. Match 46: Winner of Match 40 vs Winner of Match 41
  4. Match 47: Winner of Match 42 vs Winner of Match 43

Semi-final

  1. Match 48: Winner of Match 44 vs Winner of Match 45
  2. Match 49: Winner of Match 46 vs Winner of Match 47

Final

  1. Match 50: Winner of Match 48 vs Winner of Match 49

Match list

Knockout fixture — 51 teams
Match no.RoundMatchDateTimeVenue
1Round ITeam 4 vs Team 5
2Round ITeam 6 vs Team 7
3Round ITeam 8 vs Team 9
4Round ITeam 10 vs Team 11
5Round ITeam 12 vs Team 13
6Round ITeam 14 vs Team 15
7Round ITeam 16 vs Team 17
8Round ITeam 18 vs Team 19
9Round ITeam 20 vs Team 21
10Round ITeam 22 vs Team 23
11Round ITeam 30 vs Team 31
12Round ITeam 32 vs Team 33
13Round ITeam 34 vs Team 35
14Round ITeam 36 vs Team 37
15Round ITeam 38 vs Team 39
16Round ITeam 40 vs Team 41
17Round ITeam 42 vs Team 43
18Round ITeam 44 vs Team 45
19Round ITeam 46 vs Team 47
20Round IITeam 1 vs Team 2
21Round IITeam 3 vs Winner of Match 1
22Round IIWinner of Match 2 vs Winner of Match 3
23Round IIWinner of Match 4 vs Winner of Match 5
24Round IIWinner of Match 6 vs Winner of Match 7
25Round IIWinner of Match 8 vs Winner of Match 9
26Round IIWinner of Match 10 vs Team 24
27Round IITeam 25 vs Team 26
28Round IITeam 27 vs Team 28
29Round IITeam 29 vs Winner of Match 11
30Round IIWinner of Match 12 vs Winner of Match 13
31Round IIWinner of Match 14 vs Winner of Match 15
32Round IIWinner of Match 16 vs Winner of Match 17
33Round IIWinner of Match 18 vs Winner of Match 19
34Round IITeam 48 vs Team 49
35Round IITeam 50 vs Team 51
36Round IIIWinner of Match 20 vs Winner of Match 21
37Round IIIWinner of Match 22 vs Winner of Match 23
38Round IIIWinner of Match 24 vs Winner of Match 25
39Round IIIWinner of Match 26 vs Winner of Match 27
40Round IIIWinner of Match 28 vs Winner of Match 29
41Round IIIWinner of Match 30 vs Winner of Match 31
42Round IIIWinner of Match 32 vs Winner of Match 33
43Round IIIWinner of Match 34 vs Winner of Match 35
44Round IVWinner of Match 36 vs Winner of Match 37
45Round IVWinner of Match 38 vs Winner of Match 39
46Round IVWinner of Match 40 vs Winner of Match 41
47Round IVWinner of Match 42 vs Winner of Match 43
48Semi-finalWinner of Match 44 vs Winner of Match 45
49Semi-finalWinner of Match 46 vs Winner of Match 47
50FinalWinner of Match 48 vs Winner of Match 49

Byes (no match in Round I): Team 1, Team 2, Team 3, Team 24, Team 25, Team 26, Team 27, Team 28, Team 29, Team 48, Team 49, Team 50, Team 51. Total matches = 50.

How this was calculated

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

    Total Number of Matches = 51 − 1

    = 50

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

    (51 + 1) ÷ 2

    = 26

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

    (51 − 1) ÷ 2

    = 25

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

    Byes = 64 − 51

    = 13

  5. Upper Half = (Byes − 1) ÷ 2

    Upper Half = (13 − 1) ÷ 2

    = 6

  6. Lower Half = (Byes + 1) ÷ 2

    Lower Half = (13 + 1) ÷ 2

    = 7

  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 51, 1, 27, 26, 50, 2, 28, 25, 49, 3, 29, 24, 48

    = 51, 1, 27, 26, 50, 2, 28, 25, 49, 3, 29, 24, 48

  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 51 team fixture is drawn

Upper half and lower half

51 is odd, so the upper half gets (51 + 1) ÷ 2 = 26 teams (Teams 1–26) and the lower half gets (51 − 1) ÷ 2 = 25 teams (Teams 27–51).

Byes

Byes = next power of 2 − number of teams = 64 − 51 = 13. 13 is odd, so the upper half gets (13 − 1) ÷ 2 = 6 byes and the lower half gets (13 + 1) ÷ 2 = 7 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 51 teams:

  1. Team 51 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 27 — first team of the lower half
  4. Team 26 — last team of the upper half
  5. Team 50 — 2nd-last team of the lower half
  6. Team 2 — 2nd team of the upper half
  7. Team 28 — 2nd team of the lower half
  8. Team 25 — 2nd-last team of the upper half
  9. Team 49 — 3rd-last team of the lower half
  10. Team 3 — 3rd team of the upper half
  11. Team 29 — 3rd team of the lower half
  12. Team 24 — 3rd-last team of the upper half
  13. Team 48 — 4th-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

51 − 13 = 38 teams play Round I in 19 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 10 vs Team 11
  • Match 5: Team 12 vs Team 13
  • Match 6: Team 14 vs Team 15
  • Match 7: Team 16 vs Team 17
  • Match 8: Team 18 vs Team 19
  • Match 9: Team 20 vs Team 21
  • Match 10: Team 22 vs Team 23
  • Match 11: Team 30 vs Team 31
  • Match 12: Team 32 vs Team 33
  • Match 13: Team 34 vs Team 35
  • Match 14: Team 36 vs Team 37
  • Match 15: Team 38 vs Team 39
  • Match 16: Team 40 vs Team 41
  • Match 17: Team 42 vs Team 43
  • Match 18: Team 44 vs Team 45
  • Match 19: Team 46 vs Team 47

Total number of matches = number of teams − 1 = 51 − 1 = 50 (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 51 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 51 team knockout fixture?

Byes = next power of 2 − number of teams = 64 − 51 = 13. 13 is odd, so the upper half gets (13 − 1) ÷ 2 = 6 byes and the lower half gets (13 + 1) ÷ 2 = 7 byes. The byes go, in order, to teams 51, 1, 27, 26, 50, 2, 28, 25, 49, 3, 29, 24 and 48. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 51 teams?

Total number of matches = number of teams − 1 = 51 − 1 = 50, 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 51 teams divided into the upper and lower half?

51 is odd, so the upper half gets (51 + 1) ÷ 2 = 26 teams (Teams 1–26) and the lower half gets (51 − 1) ÷ 2 = 25 teams (Teams 27–51).

Can I print the 51 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 51 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.