46 team knockout fixture
46 teams: 18 byes, 28 teams play Round I, 45 matches over 6 rounds.
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Knockout fixture — 46 teams · 18 byes · 45 matches · 6 rounds
TournamentVenueDate
- Total byes
- 18
- teams that do not play Round 1
- Byes in each half
- Upper 9Lower 9
- Teams in each half
- Upper 23Lower 23
- Total matches
- 45
- 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, 42, 43, 44, 45, 46
- in serial order; the order the byes are given is in the steps below
Add team names
Names fill serial numbers 1 to 46 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.
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
- Match 8: Team 28 vs Team 29
- Match 9: Team 30 vs Team 31
- Match 10: Team 32 vs Team 33
- Match 11: Team 34 vs Team 35
- Match 12: Team 36 vs Team 37
- Match 13: Team 38 vs Team 39
- Match 14: Team 40 vs Team 41
- Team 42 gets a bye
- Team 43 gets a bye
- Team 44 gets a bye
- Team 45 gets a bye
- Team 46 gets a bye
Round II
- Match 15: Team 1 vs Team 2
- Match 16: Team 3 vs Team 4
- Match 17: Team 5 vs Winner of Match 1
- Match 18: Winner of Match 2 vs Winner of Match 3
- Match 19: Winner of Match 4 vs Winner of Match 5
- Match 20: Winner of Match 6 vs Winner of Match 7
- Match 21: Team 20 vs Team 21
- Match 22: Team 22 vs Team 23
- Match 23: Team 24 vs Team 25
- Match 24: Team 26 vs Team 27
- Match 25: Winner of Match 8 vs Winner of Match 9
- Match 26: Winner of Match 10 vs Winner of Match 11
- Match 27: Winner of Match 12 vs Winner of Match 13
- Match 28: Winner of Match 14 vs Team 42
- Match 29: Team 43 vs Team 44
- Match 30: Team 45 vs Team 46
Round III
- Match 31: Winner of Match 15 vs Winner of Match 16
- Match 32: Winner of Match 17 vs Winner of Match 18
- Match 33: Winner of Match 19 vs Winner of Match 20
- Match 34: Winner of Match 21 vs Winner of Match 22
- Match 35: Winner of Match 23 vs Winner of Match 24
- Match 36: Winner of Match 25 vs Winner of Match 26
- Match 37: Winner of Match 27 vs Winner of Match 28
- Match 38: Winner of Match 29 vs Winner of Match 30
Round IV
- Match 39: Winner of Match 31 vs Winner of Match 32
- Match 40: Winner of Match 33 vs Winner of Match 34
- Match 41: Winner of Match 35 vs Winner of Match 36
- Match 42: Winner of Match 37 vs Winner of Match 38
Semi-final
- Match 43: Winner of Match 39 vs Winner of Match 40
- Match 44: Winner of Match 41 vs Winner of Match 42
Final
- Match 45: Winner of Match 43 vs Winner of Match 44
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 28 vs Team 29 | |||
| 9 | Round I | Team 30 vs Team 31 | |||
| 10 | Round I | Team 32 vs Team 33 | |||
| 11 | Round I | Team 34 vs Team 35 | |||
| 12 | Round I | Team 36 vs Team 37 | |||
| 13 | Round I | Team 38 vs Team 39 | |||
| 14 | Round I | Team 40 vs Team 41 | |||
| 15 | Round II | Team 1 vs Team 2 | |||
| 16 | Round II | Team 3 vs Team 4 | |||
| 17 | Round II | Team 5 vs Winner of Match 1 | |||
| 18 | Round II | Winner of Match 2 vs Winner of Match 3 | |||
| 19 | Round II | Winner of Match 4 vs Winner of Match 5 | |||
| 20 | Round II | Winner of Match 6 vs Winner of Match 7 | |||
| 21 | Round II | Team 20 vs Team 21 | |||
| 22 | Round II | Team 22 vs Team 23 | |||
| 23 | Round II | Team 24 vs Team 25 | |||
| 24 | Round II | Team 26 vs Team 27 | |||
| 25 | Round II | Winner of Match 8 vs Winner of Match 9 | |||
| 26 | Round II | Winner of Match 10 vs Winner of Match 11 | |||
| 27 | Round II | Winner of Match 12 vs Winner of Match 13 | |||
| 28 | Round II | Winner of Match 14 vs Team 42 | |||
| 29 | Round II | Team 43 vs Team 44 | |||
| 30 | Round II | Team 45 vs Team 46 | |||
| 31 | Round III | Winner of Match 15 vs Winner of Match 16 | |||
| 32 | Round III | Winner of Match 17 vs Winner of Match 18 | |||
| 33 | Round III | Winner of Match 19 vs Winner of Match 20 | |||
| 34 | Round III | Winner of Match 21 vs Winner of Match 22 | |||
| 35 | Round III | Winner of Match 23 vs Winner of Match 24 | |||
| 36 | Round III | Winner of Match 25 vs Winner of Match 26 | |||
| 37 | Round III | Winner of Match 27 vs Winner of Match 28 | |||
| 38 | Round III | Winner of Match 29 vs Winner of Match 30 | |||
| 39 | Round IV | Winner of Match 31 vs Winner of Match 32 | |||
| 40 | Round IV | Winner of Match 33 vs Winner of Match 34 | |||
| 41 | Round IV | Winner of Match 35 vs Winner of Match 36 | |||
| 42 | Round IV | Winner of Match 37 vs Winner of Match 38 | |||
| 43 | Semi-final | Winner of Match 39 vs Winner of Match 40 | |||
| 44 | Semi-final | Winner of Match 41 vs Winner of Match 42 | |||
| 45 | Final | Winner of Match 43 vs Winner of Match 44 |
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 42, Team 43, Team 44, Team 45, Team 46. Total matches = 45.
How this was calculated
Total Number of Matches = Number of teams − 1 (not including third place match)
Total Number of Matches = 46 − 1
= 45
Number of teams ÷ 2 = Teams in Upper Half or Lower Half
46 ÷ 2
= 23
Byes = next power of 2 − number of teams participating
Byes = 64 − 46
= 18
Byes ÷ 2 in Upper Half and Lower Half
18 ÷ 2
= 9
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 46, 1, 24, 23, 45, 2, 25, 22, 44, 3, 26, 21, 43, 4, 27, 20, 42, 5
= 46, 1, 24, 23, 45, 2, 25, 22, 44, 3, 26, 21, 43, 4, 27, 20, 42, 5
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 46 team fixture is drawn
Upper half and lower half
46 is even, so each half gets 46 ÷ 2 = 23 teams: Teams 1–23 in the upper half and Teams 24–46 in the lower half.
Byes
Byes = next power of 2 − number of teams = 64 − 46 = 18. 18 is even, so each half gets 18 ÷ 2 = 9 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 46 teams:
- Team 46 — 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 45 — 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 44 — 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 43 — 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 42 — 5th-last team of the lower half
- Team 5 — 5th team of the upper half
Teams with a bye do not play Round I. They go straight to Round II.
Round I and total matches
46 − 18 = 28 teams play Round I in 14 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 28 vs Team 29
- Match 9: Team 30 vs Team 31
- Match 10: Team 32 vs Team 33
- Match 11: Team 34 vs Team 35
- Match 12: Team 36 vs Team 37
- Match 13: Team 38 vs Team 39
- Match 14: Team 40 vs Team 41
Total number of matches = number of teams − 1 = 46 − 1 = 45 (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 46 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 46 team knockout fixture?
Byes = next power of 2 − number of teams = 64 − 46 = 18. 18 is even, so each half gets 18 ÷ 2 = 9 byes. The byes go, in order, to teams 46, 1, 24, 23, 45, 2, 25, 22, 44, 3, 26, 21, 43, 4, 27, 20, 42 and 5. These teams do not play Round I and go straight to Round II.
How many matches and rounds are there for 46 teams?
Total number of matches = number of teams − 1 = 46 − 1 = 45, 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 46 teams divided into the upper and lower half?
46 is even, so each half gets 46 ÷ 2 = 23 teams: Teams 1–23 in the upper half and Teams 24–46 in the lower half.
Can I print the 46 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 46 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.