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Draw A fixture of 21 teams …

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Draw A fixture of 21 teams on knock-out basis.
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Preeti Dabral 4 years, 3 months ago

In this type of tournament, all the contestants are eliminated until only one winner is left at the end. The team which is defeated once autometically gets eliminated immediately from the tournament It means defeated team not get a second opportunities.

fixture of 21 teams 

number of team = 21

  • Total number of matches = n-1 = 21-1 = 20
  • Total no of rounds = Nearest power of two of 21 = {tex}(2)^2{/tex}= 4
  • Number of teams in upper half{tex} = \frac { N + 1 } { 2 } = \frac { 21 + 1 } { 2 } = 11{/tex}
  • Number of teams in lower half{tex}= \frac { N - 1 } { 2 } = \frac { 21 - 1 } { 2 } = 10{/tex}
  • Total number of byes = Next power of two - total teams = 32 - 21 = 11 byes
  • number of byes in upper half={tex}= \frac { nb - 1 } { 2 } = \frac { 11 - 1 } { 2 } = 5{/tex}
  • number of team in lower half = {tex}= \frac { nb -+1 } { 2 } = \frac { 11 +1 } { 2 } = 6{/tex}

total number team in each quarter = 

= 1st Quarter = Q+1 = 5+1 = 6 teams
= 2nd Quarter = Q+0 = 5+0 = 5 teams
= 3rd Quarter = Q+0 = 5+0 = 5 teams
= 4th Quarter = Q+0 = 5+0 = 5 teams

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