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