26 team knockout fixture
26 teams: 6 byes, 20 teams play Round I, 25 matches over 5 rounds.
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Knockout fixture — 26 teams · 6 byes · 25 matches · 5 rounds
TournamentVenueDate
- Total byes
- 6
- teams that do not play Round 1
- Byes in each half
- Upper 3Lower 3
- Teams in each half
- Upper 13Lower 13
- Total matches
- 25
- not including a third-place match
- Total rounds
- 5
- worked out from the textbook illustrations
- Byes go to teams
- 1, 2, 13, 14, 25, 26
- in serial order; the order the byes are given is in the steps below
Add team names
Names fill serial numbers 1 to 26 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
- Match 1: Team 3 vs Team 4
- Match 2: Team 5 vs Team 6
- Match 3: Team 7 vs Team 8
- Match 4: Team 9 vs Team 10
- Match 5: Team 11 vs Team 12
- Team 13 gets a bye
- Team 14 gets a bye
- Match 6: Team 15 vs Team 16
- Match 7: Team 17 vs Team 18
- Match 8: Team 19 vs Team 20
- Match 9: Team 21 vs Team 22
- Match 10: Team 23 vs Team 24
- Team 25 gets a bye
- Team 26 gets a bye
Round II
- Match 11: Team 1 vs Team 2
- Match 12: Winner of Match 1 vs Winner of Match 2
- Match 13: Winner of Match 3 vs Winner of Match 4
- Match 14: Winner of Match 5 vs Team 13
- Match 15: Team 14 vs Winner of Match 6
- Match 16: Winner of Match 7 vs Winner of Match 8
- Match 17: Winner of Match 9 vs Winner of Match 10
- Match 18: Team 25 vs Team 26
Round III
- Match 19: Winner of Match 11 vs Winner of Match 12
- Match 20: Winner of Match 13 vs Winner of Match 14
- Match 21: Winner of Match 15 vs Winner of Match 16
- Match 22: Winner of Match 17 vs Winner of Match 18
Semi-final
- Match 23: Winner of Match 19 vs Winner of Match 20
- Match 24: Winner of Match 21 vs Winner of Match 22
Final
- Match 25: Winner of Match 23 vs Winner of Match 24
Match list
| Match no. | Round | Match | Date | Time | Venue |
|---|---|---|---|---|---|
| 1 | Round I | Team 3 vs Team 4 | |||
| 2 | Round I | Team 5 vs Team 6 | |||
| 3 | Round I | Team 7 vs Team 8 | |||
| 4 | Round I | Team 9 vs Team 10 | |||
| 5 | Round I | Team 11 vs Team 12 | |||
| 6 | Round I | Team 15 vs Team 16 | |||
| 7 | Round I | Team 17 vs Team 18 | |||
| 8 | Round I | Team 19 vs Team 20 | |||
| 9 | Round I | Team 21 vs Team 22 | |||
| 10 | Round I | Team 23 vs Team 24 | |||
| 11 | Round II | Team 1 vs Team 2 | |||
| 12 | Round II | Winner of Match 1 vs Winner of Match 2 | |||
| 13 | Round II | Winner of Match 3 vs Winner of Match 4 | |||
| 14 | Round II | Winner of Match 5 vs Team 13 | |||
| 15 | Round II | Team 14 vs Winner of Match 6 | |||
| 16 | Round II | Winner of Match 7 vs Winner of Match 8 | |||
| 17 | Round II | Winner of Match 9 vs Winner of Match 10 | |||
| 18 | Round II | Team 25 vs Team 26 | |||
| 19 | Round III | Winner of Match 11 vs Winner of Match 12 | |||
| 20 | Round III | Winner of Match 13 vs Winner of Match 14 | |||
| 21 | Round III | Winner of Match 15 vs Winner of Match 16 | |||
| 22 | Round III | Winner of Match 17 vs Winner of Match 18 | |||
| 23 | Semi-final | Winner of Match 19 vs Winner of Match 20 | |||
| 24 | Semi-final | Winner of Match 21 vs Winner of Match 22 | |||
| 25 | Final | Winner of Match 23 vs Winner of Match 24 |
Byes (no match in Round I): Team 1, Team 2, Team 13, Team 14, Team 25, Team 26. Total matches = 25.
How this was calculated
Total Number of Matches = Number of teams − 1 (not including third place match)
Total Number of Matches = 26 − 1
= 25
Number of teams ÷ 2 = Teams in Upper Half or Lower Half
26 ÷ 2
= 13
Byes = next power of 2 − number of teams participating
Byes = 32 − 26
= 6
Byes ÷ 2 in Upper Half and Lower Half
6 ÷ 2
= 3
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 26, 1, 14, 13, 25, 2
= 26, 1, 14, 13, 25, 2
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 26 team fixture is drawn
Upper half and lower half
26 is even, so each half gets 26 ÷ 2 = 13 teams: Teams 1–13 in the upper half and Teams 14–26 in the lower half.
Byes
Byes = next power of 2 − number of teams = 32 − 26 = 6. 6 is even, so each half gets 6 ÷ 2 = 3 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 26 teams:
- Team 26 — last team of the lower half
- Team 1 — first team of the upper half
- Team 14 — first team of the lower half
- Team 13 — last team of the upper half
- Team 25 — 2nd-last team of the lower half
- Team 2 — 2nd 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
26 − 6 = 20 teams play Round I in 10 matches:
- Match 1: Team 3 vs Team 4
- Match 2: Team 5 vs Team 6
- Match 3: Team 7 vs Team 8
- Match 4: Team 9 vs Team 10
- Match 5: Team 11 vs Team 12
- Match 6: Team 15 vs Team 16
- Match 7: Team 17 vs Team 18
- Match 8: Team 19 vs Team 20
- Match 9: Team 21 vs Team 22
- Match 10: Team 23 vs Team 24
Total number of matches = number of teams − 1 = 26 − 1 = 25 (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 26 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 26 team knockout fixture?
Byes = next power of 2 − number of teams = 32 − 26 = 6. 6 is even, so each half gets 6 ÷ 2 = 3 byes. The byes go, in order, to teams 26, 1, 14, 13, 25 and 2. These teams do not play Round I and go straight to Round II.
How many matches and rounds are there for 26 teams?
Total number of matches = number of teams − 1 = 26 − 1 = 25, 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 26 teams divided into the upper and lower half?
26 is even, so each half gets 26 ÷ 2 = 13 teams: Teams 1–13 in the upper half and Teams 14–26 in the lower half.
Can I print the 26 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 26 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.