4 team knockout fixture
4 teams: no byes, all 4 teams play Round I, 3 matches over 2 rounds.
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Knockout fixture — 4 teams · 0 byes · 3 matches · 2 rounds
TournamentVenueDate
- Total byes
- 0
- teams that do not play Round 1
- Byes in each half
- Upper 0Lower 0
- Teams in each half
- Upper 2Lower 2
- Total matches
- 3
- not including a third-place match
- Total rounds
- 2
- worked out from the textbook illustrations
- Byes go to teams
- No byes — 4 is a power of 2
Add team names
Names fill serial numbers 1 to 4 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)
Semi-final
- Match 1: Team 1 vs Team 2
- Match 2: Team 3 vs Team 4
Final
- Match 3: Winner of Match 1 vs Winner of Match 2
Match list
| Match no. | Round | Match | Date | Time | Venue |
|---|---|---|---|---|---|
| 1 | Semi-final | Team 1 vs Team 2 | |||
| 2 | Semi-final | Team 3 vs Team 4 | |||
| 3 | Final | Winner of Match 1 vs Winner of Match 2 |
No byes. Total matches = 3.
How this was calculated
Total Number of Matches = Number of teams − 1 (not including third place match)
Total Number of Matches = 4 − 1
= 3
Number of teams ÷ 2 = Teams in Upper Half or Lower Half
4 ÷ 2
= 2
Byes = next power of 2 − number of teams participating
Byes = 4 − 4 (4 is a power of 2, so there are no byes)
= 0
Rounds = number of times 2 is multiplied to get the next power of 2
4 = 2 × 2
= 2
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 4 team fixture is drawn
Upper half and lower half
4 is even, so each half gets 4 ÷ 2 = 2 teams: Teams 1–2 in the upper half and Teams 3–4 in the lower half.
Byes
4 is a power of 2, so byes = 4 − 4 = 0. There are no byes and all 4 teams play Round I. Round I has 2 matches.
Round I and total matches
All 4 teams play Round I in 2 matches:
- Match 1: Team 1 vs Team 2
- Match 2: Team 3 vs Team 4
Total number of matches = number of teams − 1 = 4 − 1 = 3 (not including a third-place match). There are 2 rounds, because 4 = 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 4 team knockout fixture PDF. The bracket prints on one A4 page (portrait).
Questions
How many byes are there in a 4 team knockout fixture?
None. 4 is a power of 2, so byes = 4 − 4 = 0. There are no byes and all 4 teams play Round I.
How many matches and rounds are there for 4 teams?
Total number of matches = number of teams − 1 = 4 − 1 = 3, not including a third-place match. There are 2 rounds, because 4 = 2 × 2 (worked out from the textbook illustrations, not a textbook formula).
How are 4 teams divided into the upper and lower half?
4 is even, so each half gets 4 ÷ 2 = 2 teams: Teams 1–2 in the upper half and Teams 3–4 in the lower half.
Can I print the 4 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 4 team knockout fixture PDF. The bracket prints on one A4 page (portrait).