Question

Study the fixture given below:

On the basis of the above study and your knowledge, answer the following questions:

1. According to the above fixture, total number of rounds will be ______.      [1]
2. As shown in the fixture if the winner team plays least number of matches, then which number of team is the winner?      [1]
3. What is the formula for calculating number of matches in a Knockout tournament?     [1]
4. If 16 teams are participating in a Knockout tournament, then how many byes will be given to draw a Knockout fixture?
   Or
   What is the formula for calculating total number of byes in a Knockout tournament?      [1]

Answer 1

1. According to the above fixture, total number of rounds will be four.
2. As shown in the fixture, if the winning team plays the least number of matches, then the number of team 15 is the winner.
3. The formula for calculating the number of matches in a Knockout tournament is
   
   • Number of Matches (M) =
   • Number of Teams (N) − 1
4. If 19 teams are participating in a knockout tournament, then the total number of teams = 19 byes will be given to draw a knockout fixture.
   Next power of two after 19 = 32
   Power of two - 2¹ = 2² = 4, 2³ = 8, 2⁴ = 16, 2⁵ = 32
   therefore, number of byes will be 32 − 19 = 13
   Or
   Number of byes in upper half = `(Nb - 1)/2`
   Number of byes in lower half = `(Nb + 1)/2`