DrawMyFixture

20 team knockout fixture

20 teams: 12 byes, 8 teams play Round I, 19 matches over 5 rounds.

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Knockout fixture — 20 teams · 12 byes · 19 matches · 5 rounds

TournamentVenueDate

Knockout fixture, 20 teams — upper half12 byes. 10 teams in the upper half, 10 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4Team 5Team 6Team 7Team 8BYETeam 9BYETeam 10BYETeam 1Team 2Team 3Team 8Team 9Team 10125678131417Final: Match 19
BYE = no match in Round I. Numbers in circles are match numbers.
Knockout fixture, 20 teams — lower half12 byes. 10 teams in the upper half, 10 in the lower half.Round IRound IIRound IIISemi-finalFinalLOWER HALFTeam 11BYETeam 12BYETeam 13BYETeam 14Team 15Team 16Team 17Team 18BYETeam 19BYETeam 20BYETeam 11Team 12Team 13Team 18Team 19Team 20349101112151618Final: Match 19
BYE = no match in Round I. Numbers in circles are match numbers.
20 teams: 12 byes, 19 matches, 5 rounds.
Total byes
12
teams that do not play Round 1
Byes in each half
Upper 6Lower 6
Teams in each half
Upper 10Lower 10
Total matches
19
not including a third-place match
Total rounds
5
worked out from the textbook illustrations
Byes go to teams
1, 2, 3, 8, 9, 10, 11, 12, 13, 18, 19, 20
in serial order; the order the byes are given is in the steps below

The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.

Add team names

Names fill serial numbers 1 to 20 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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Knockout fixture, 20 teams12 byes. 10 teams in the upper half, 10 in the lower half.Round IRound IIRound IIISemi-finalFinalUPPER HALFLOWER HALFTeam 1BYETeam 2BYETeam 3BYETeam 4Team 5Team 6Team 7Team 8BYETeam 9BYETeam 10BYETeam 11BYETeam 12BYETeam 13BYETeam 14Team 15Team 16Team 17Team 18BYETeam 19BYETeam 20BYETeam 1Team 2Team 3Team 8Team 9Team 10Team 11Team 12Team 13Team 18Team 19Team 20Winner12345678910111213141516171819
BYE = no match in Round I. Numbers in circles are match numbers.
Match list (text)

Round I

  1. Team 1 gets a bye
  2. Team 2 gets a bye
  3. Team 3 gets a bye
  4. Match 1: Team 4 vs Team 5
  5. Match 2: Team 6 vs Team 7
  6. Team 8 gets a bye
  7. Team 9 gets a bye
  8. Team 10 gets a bye
  9. Team 11 gets a bye
  10. Team 12 gets a bye
  11. Team 13 gets a bye
  12. Match 3: Team 14 vs Team 15
  13. Match 4: Team 16 vs Team 17
  14. Team 18 gets a bye
  15. Team 19 gets a bye
  16. Team 20 gets a bye

Round II

  1. Match 5: Team 1 vs Team 2
  2. Match 6: Team 3 vs Winner of Match 1
  3. Match 7: Winner of Match 2 vs Team 8
  4. Match 8: Team 9 vs Team 10
  5. Match 9: Team 11 vs Team 12
  6. Match 10: Team 13 vs Winner of Match 3
  7. Match 11: Winner of Match 4 vs Team 18
  8. Match 12: Team 19 vs Team 20

Round III

  1. Match 13: Winner of Match 5 vs Winner of Match 6
  2. Match 14: Winner of Match 7 vs Winner of Match 8
  3. Match 15: Winner of Match 9 vs Winner of Match 10
  4. Match 16: Winner of Match 11 vs Winner of Match 12

Semi-final

  1. Match 17: Winner of Match 13 vs Winner of Match 14
  2. Match 18: Winner of Match 15 vs Winner of Match 16

Final

  1. Match 19: Winner of Match 17 vs Winner of Match 18

Match list

Knockout fixture — 20 teams
Match no.RoundMatchDateTimeVenue
1Round ITeam 4 vs Team 5
2Round ITeam 6 vs Team 7
3Round ITeam 14 vs Team 15
4Round ITeam 16 vs Team 17
5Round IITeam 1 vs Team 2
6Round IITeam 3 vs Winner of Match 1
7Round IIWinner of Match 2 vs Team 8
8Round IITeam 9 vs Team 10
9Round IITeam 11 vs Team 12
10Round IITeam 13 vs Winner of Match 3
11Round IIWinner of Match 4 vs Team 18
12Round IITeam 19 vs Team 20
13Round IIIWinner of Match 5 vs Winner of Match 6
14Round IIIWinner of Match 7 vs Winner of Match 8
15Round IIIWinner of Match 9 vs Winner of Match 10
16Round IIIWinner of Match 11 vs Winner of Match 12
17Semi-finalWinner of Match 13 vs Winner of Match 14
18Semi-finalWinner of Match 15 vs Winner of Match 16
19FinalWinner of Match 17 vs Winner of Match 18

Byes (no match in Round I): Team 1, Team 2, Team 3, Team 8, Team 9, Team 10, Team 11, Team 12, Team 13, Team 18, Team 19, Team 20. Total matches = 19.

How this was calculated

  1. Total Number of Matches = Number of teams − 1 (not including third place match)

    Total Number of Matches = 20 − 1

    = 19

  2. Number of teams ÷ 2 = Teams in Upper Half or Lower Half

    20 ÷ 2

    = 10

  3. Byes = next power of 2 − number of teams participating

    Byes = 32 − 20

    = 12

  4. Byes ÷ 2 in Upper Half and Lower Half

    12 ÷ 2

    = 6

  5. 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 20, 1, 11, 10, 19, 2, 12, 9, 18, 3, 13, 8

    = 20, 1, 11, 10, 19, 2, 12, 9, 18, 3, 13, 8

  6. 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 20 team fixture is drawn

Upper half and lower half

20 is even, so each half gets 20 ÷ 2 = 10 teams: Teams 1–10 in the upper half and Teams 11–20 in the lower half.

Byes

Byes = next power of 2 − number of teams = 32 − 20 = 12. 12 is even, so each half gets 12 ÷ 2 = 6 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 20 teams:

  1. Team 20 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 11 — first team of the lower half
  4. Team 10 — last team of the upper half
  5. Team 19 — 2nd-last team of the lower half
  6. Team 2 — 2nd team of the upper half
  7. Team 12 — 2nd team of the lower half
  8. Team 9 — 2nd-last team of the upper half
  9. Team 18 — 3rd-last team of the lower half
  10. Team 3 — 3rd team of the upper half
  11. Team 13 — 3rd team of the lower half
  12. Team 8 — 3rd-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

20 − 12 = 8 teams play Round I in 4 matches:

  • Match 1: Team 4 vs Team 5
  • Match 2: Team 6 vs Team 7
  • Match 3: Team 14 vs Team 15
  • Match 4: Team 16 vs Team 17

Total number of matches = number of teams − 1 = 20 − 1 = 19 (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 20 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 20 team knockout fixture?

Byes = next power of 2 − number of teams = 32 − 20 = 12. 12 is even, so each half gets 12 ÷ 2 = 6 byes. The byes go, in order, to teams 20, 1, 11, 10, 19, 2, 12, 9, 18, 3, 13 and 8. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 20 teams?

Total number of matches = number of teams − 1 = 20 − 1 = 19, 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 20 teams divided into the upper and lower half?

20 is even, so each half gets 20 ÷ 2 = 10 teams: Teams 1–10 in the upper half and Teams 11–20 in the lower half.

Can I print the 20 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 20 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in landscape; if your browser asks, choose Landscape.