45 team knockout fixture
45 teams: 19 byes, 26 teams play Round I, 44 matches over 6 rounds.
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Knockout fixture — 45 teams · 19 byes · 44 matches · 6 rounds
TournamentVenueDate
- Total byes
- 19
- teams that do not play Round 1
- Byes in each half
- Upper 9Lower 10
- Teams in each half
- Upper 23Lower 22
- Total matches
- 44
- not including a third-place match
- Total rounds
- 6
- worked out from the textbook illustrations
- Byes go to teams
- 1, 2, 3, 4, 5, 20, 21, 22, 23, 24, 25, 26, 27, 28, 41, 42, 43, 44, 45
- in serial order; the order the byes are given is in the steps below
Add team names
Names fill serial numbers 1 to 45 in order. Without names, the bracket shows Team 1, Team 2…
The textbook places teams by lottery. Shuffle gives the names random serial numbers.
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Match list (text)
Round I
- Team 1 gets a bye
- Team 2 gets a bye
- Team 3 gets a bye
- Team 4 gets a bye
- Team 5 gets a bye
- Match 1: Team 6 vs Team 7
- Match 2: Team 8 vs Team 9
- Match 3: Team 10 vs Team 11
- Match 4: Team 12 vs Team 13
- Match 5: Team 14 vs Team 15
- Match 6: Team 16 vs Team 17
- Match 7: Team 18 vs Team 19
- Team 20 gets a bye
- Team 21 gets a bye
- Team 22 gets a bye
- Team 23 gets a bye
- Team 24 gets a bye
- Team 25 gets a bye
- Team 26 gets a bye
- Team 27 gets a bye
- Team 28 gets a bye
- Match 8: Team 29 vs Team 30
- Match 9: Team 31 vs Team 32
- Match 10: Team 33 vs Team 34
- Match 11: Team 35 vs Team 36
- Match 12: Team 37 vs Team 38
- Match 13: Team 39 vs Team 40
- Team 41 gets a bye
- Team 42 gets a bye
- Team 43 gets a bye
- Team 44 gets a bye
- Team 45 gets a bye
Round II
- Match 14: Team 1 vs Team 2
- Match 15: Team 3 vs Team 4
- Match 16: Team 5 vs Winner of Match 1
- Match 17: Winner of Match 2 vs Winner of Match 3
- Match 18: Winner of Match 4 vs Winner of Match 5
- Match 19: Winner of Match 6 vs Winner of Match 7
- Match 20: Team 20 vs Team 21
- Match 21: Team 22 vs Team 23
- Match 22: Team 24 vs Team 25
- Match 23: Team 26 vs Team 27
- Match 24: Team 28 vs Winner of Match 8
- Match 25: Winner of Match 9 vs Winner of Match 10
- Match 26: Winner of Match 11 vs Winner of Match 12
- Match 27: Winner of Match 13 vs Team 41
- Match 28: Team 42 vs Team 43
- Match 29: Team 44 vs Team 45
Round III
- Match 30: Winner of Match 14 vs Winner of Match 15
- Match 31: Winner of Match 16 vs Winner of Match 17
- Match 32: Winner of Match 18 vs Winner of Match 19
- Match 33: Winner of Match 20 vs Winner of Match 21
- Match 34: Winner of Match 22 vs Winner of Match 23
- Match 35: Winner of Match 24 vs Winner of Match 25
- Match 36: Winner of Match 26 vs Winner of Match 27
- Match 37: Winner of Match 28 vs Winner of Match 29
Round IV
- Match 38: Winner of Match 30 vs Winner of Match 31
- Match 39: Winner of Match 32 vs Winner of Match 33
- Match 40: Winner of Match 34 vs Winner of Match 35
- Match 41: Winner of Match 36 vs Winner of Match 37
Semi-final
- Match 42: Winner of Match 38 vs Winner of Match 39
- Match 43: Winner of Match 40 vs Winner of Match 41
Final
- Match 44: Winner of Match 42 vs Winner of Match 43
Match list
| Match no. | Round | Match | Date | Time | Venue |
|---|---|---|---|---|---|
| 1 | Round I | Team 6 vs Team 7 | |||
| 2 | Round I | Team 8 vs Team 9 | |||
| 3 | Round I | Team 10 vs Team 11 | |||
| 4 | Round I | Team 12 vs Team 13 | |||
| 5 | Round I | Team 14 vs Team 15 | |||
| 6 | Round I | Team 16 vs Team 17 | |||
| 7 | Round I | Team 18 vs Team 19 | |||
| 8 | Round I | Team 29 vs Team 30 | |||
| 9 | Round I | Team 31 vs Team 32 | |||
| 10 | Round I | Team 33 vs Team 34 | |||
| 11 | Round I | Team 35 vs Team 36 | |||
| 12 | Round I | Team 37 vs Team 38 | |||
| 13 | Round I | Team 39 vs Team 40 | |||
| 14 | Round II | Team 1 vs Team 2 | |||
| 15 | Round II | Team 3 vs Team 4 | |||
| 16 | Round II | Team 5 vs Winner of Match 1 | |||
| 17 | Round II | Winner of Match 2 vs Winner of Match 3 | |||
| 18 | Round II | Winner of Match 4 vs Winner of Match 5 | |||
| 19 | Round II | Winner of Match 6 vs Winner of Match 7 | |||
| 20 | Round II | Team 20 vs Team 21 | |||
| 21 | Round II | Team 22 vs Team 23 | |||
| 22 | Round II | Team 24 vs Team 25 | |||
| 23 | Round II | Team 26 vs Team 27 | |||
| 24 | Round II | Team 28 vs Winner of Match 8 | |||
| 25 | Round II | Winner of Match 9 vs Winner of Match 10 | |||
| 26 | Round II | Winner of Match 11 vs Winner of Match 12 | |||
| 27 | Round II | Winner of Match 13 vs Team 41 | |||
| 28 | Round II | Team 42 vs Team 43 | |||
| 29 | Round II | Team 44 vs Team 45 | |||
| 30 | Round III | Winner of Match 14 vs Winner of Match 15 | |||
| 31 | Round III | Winner of Match 16 vs Winner of Match 17 | |||
| 32 | Round III | Winner of Match 18 vs Winner of Match 19 | |||
| 33 | Round III | Winner of Match 20 vs Winner of Match 21 | |||
| 34 | Round III | Winner of Match 22 vs Winner of Match 23 | |||
| 35 | Round III | Winner of Match 24 vs Winner of Match 25 | |||
| 36 | Round III | Winner of Match 26 vs Winner of Match 27 | |||
| 37 | Round III | Winner of Match 28 vs Winner of Match 29 | |||
| 38 | Round IV | Winner of Match 30 vs Winner of Match 31 | |||
| 39 | Round IV | Winner of Match 32 vs Winner of Match 33 | |||
| 40 | Round IV | Winner of Match 34 vs Winner of Match 35 | |||
| 41 | Round IV | Winner of Match 36 vs Winner of Match 37 | |||
| 42 | Semi-final | Winner of Match 38 vs Winner of Match 39 | |||
| 43 | Semi-final | Winner of Match 40 vs Winner of Match 41 | |||
| 44 | Final | Winner of Match 42 vs Winner of Match 43 |
Byes (no match in Round I): Team 1, Team 2, Team 3, Team 4, Team 5, Team 20, Team 21, Team 22, Team 23, Team 24, Team 25, Team 26, Team 27, Team 28, Team 41, Team 42, Team 43, Team 44, Team 45. Total matches = 44.
How this was calculated
Total Number of Matches = Number of teams − 1 (not including third place match)
Total Number of Matches = 45 − 1
= 44
(Number of teams + 1) ÷ 2 = Teams in Upper Half
(45 + 1) ÷ 2
= 23
(Number of teams − 1) ÷ 2 = Teams in Lower Half
(45 − 1) ÷ 2
= 22
Byes = next power of 2 − number of teams participating
Byes = 64 − 45
= 19
Upper Half = (Byes − 1) ÷ 2
Upper Half = (19 − 1) ÷ 2
= 9
Lower Half = (Byes + 1) ÷ 2
Lower Half = (19 + 1) ÷ 2
= 10
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 45, 1, 24, 23, 44, 2, 25, 22, 43, 3, 26, 21, 42, 4, 27, 20, 41, 5, 28
= 45, 1, 24, 23, 44, 2, 25, 22, 43, 3, 26, 21, 42, 4, 27, 20, 41, 5, 28
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 45 team fixture is drawn
Upper half and lower half
45 is odd, so the upper half gets (45 + 1) ÷ 2 = 23 teams (Teams 1–23) and the lower half gets (45 − 1) ÷ 2 = 22 teams (Teams 24–45).
Byes
Byes = next power of 2 − number of teams = 64 − 45 = 19. 19 is odd, so the upper half gets (19 − 1) ÷ 2 = 9 byes and the lower half gets (19 + 1) ÷ 2 = 10 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 45 teams:
- Team 45 — last team of the lower half
- Team 1 — first team of the upper half
- Team 24 — first team of the lower half
- Team 23 — last team of the upper half
- Team 44 — 2nd-last team of the lower half
- Team 2 — 2nd team of the upper half
- Team 25 — 2nd team of the lower half
- Team 22 — 2nd-last team of the upper half
- Team 43 — 3rd-last team of the lower half
- Team 3 — 3rd team of the upper half
- Team 26 — 3rd team of the lower half
- Team 21 — 3rd-last team of the upper half
- Team 42 — 4th-last team of the lower half
- Team 4 — 4th team of the upper half
- Team 27 — 4th team of the lower half
- Team 20 — 4th-last team of the upper half
- Team 41 — 5th-last team of the lower half
- Team 5 — 5th team of the upper half
- Team 28 — 5th 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
45 − 19 = 26 teams play Round I in 13 matches:
- Match 1: Team 6 vs Team 7
- Match 2: Team 8 vs Team 9
- Match 3: Team 10 vs Team 11
- Match 4: Team 12 vs Team 13
- Match 5: Team 14 vs Team 15
- Match 6: Team 16 vs Team 17
- Match 7: Team 18 vs Team 19
- Match 8: Team 29 vs Team 30
- Match 9: Team 31 vs Team 32
- Match 10: Team 33 vs Team 34
- Match 11: Team 35 vs Team 36
- Match 12: Team 37 vs Team 38
- Match 13: Team 39 vs Team 40
Total number of matches = number of teams − 1 = 45 − 1 = 44 (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 45 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 45 team knockout fixture?
Byes = next power of 2 − number of teams = 64 − 45 = 19. 19 is odd, so the upper half gets (19 − 1) ÷ 2 = 9 byes and the lower half gets (19 + 1) ÷ 2 = 10 byes. The byes go, in order, to teams 45, 1, 24, 23, 44, 2, 25, 22, 43, 3, 26, 21, 42, 4, 27, 20, 41, 5 and 28. These teams do not play Round I and go straight to Round II.
How many matches and rounds are there for 45 teams?
Total number of matches = number of teams − 1 = 45 − 1 = 44, 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 45 teams divided into the upper and lower half?
45 is odd, so the upper half gets (45 + 1) ÷ 2 = 23 teams (Teams 1–23) and the lower half gets (45 − 1) ÷ 2 = 22 teams (Teams 24–45).
Can I print the 45 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 45 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.