Question

Draw a knock-out fixture consisting of eleven teams.

Answer 1

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.