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Question
Draw a knock-out fixture consisting of eleven teams.
Solution
The knock-out fixture consisting of eleven teams are:
Total number of teams = 11
Teams in upper half = `("N" + 1)/2`
= `(11 + 1)/2`
= `12/2`
= 6 terms
Teams in the lower half = `("N" - 1)/2`
= `(11 - 1)/2`
= `10/2`
= 5 terms
The next highest power of two = 16
Number of byes = 16 − 11 = 5 byes
Teams in the upper half = `("NB" - 1)/2`
= `(5 - 1)/2`
= `4/2`
= 2 byes
Teams in lower half = `("NB" + 1)/2`
= `(5 + 1)/2`
= `6/2`
= 3 byes
Number of rounds = 4 rounds ...(∵ 2 × 2 × 2 × 2 = 16)
Number of matches = N − 1 = 11 − 1 = 10 matches.
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