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Question
Draw a fixture of 11 teams on the knock out basis.
Diagram
Numerical
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Solution
The teams in the upper half would be = `(n+1)/2`
The teams in the lower half would be = `(n-1)/2`
For instance, there are 11 teams, and then the number of teams in the upper half would be
`(n+1)/2`
= `(11+1)/2`
= `12/2`
= 6 teams in upper half
The number of teams in lower half would be
`(n-1)/2`
= `(11-1)/2`
= `10/2`
= 5 teams in lower half
Method of determining the number of Buys to be given in the upper half and in the lower half.
There are total 5 number of byes, then
The byes in the upper half would be
`(nb-1)/2`
= `(5-1)/2`
= `4/2`
= 2 Byes
The byes in the lower half would be
`(nb+1)/2`
= `(5+1)/2`
= `6/2`
= 3 Byes

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Chapter 4: Competitions and Tournaments - Questions [Page 105]
