Question

Aarti prepared a fixture of 11 teams to conduct Kho-Kho tournament in her locality as shown below:

Based on the above given fixture, answer the following questions:

1. What is the number of Non-bye teams in this tournament?
   1. 06
   2. 07
   3. 08
   4. 09
2. If the above fixture had been of 48 teams, then the number of byes would have been ______.
3. 7th match will be played between team number ______ and ______.
   OR
   Write the formula to calculate byes in lower half.
4. The provision in which good teams are placed in different half or pool, based on their ranking or previous performance not by allotment of draw, so that they do not play with other teams in the first round is known as ______.
   1. Bye
   2. British method
   3. Seeding
   4. American method

Answer 1

1. 06
   Explanation: In a tournament, a 'bye' is a free pass to the following round without having to play a match. To compute the number of non-bye teams, deduct the number of byes from the total number of teams. The overall number of teams is 11. Calculate the number of byes. The number of byes is calculated using the formula 2n − total number of teams, where 2n is the next power of 2 greater than or equal to the total number of teams.
   The next power of two for eleven teams is sixteen (24). So, the number of byes is 16 − 11 = 5.
   Subtracting the number of byes from the total number of teams gives the number of non-bye teams: 11 − 5 = 6.
2. In a knockout tournament, the number of byes equals the difference between the total number of teams and the nearest power of two. There are 48 teams, hence the nearest power of two is 64 (2 ^ 6). To get the number of byes, subtract the number of teams from the nearest power of 2:
   64 − 48 = 16
   So, 16 byes will be given.
3. 7th match will be played between team number 10 and 11.
   OR
   Formula for lower half: `("Total byes" - 1)/2`
4. The provision in which good teams are placed in different half or pool, based on their ranking or previous performance not by allotment of draw, so that they do not play with other teams in the first round is known as seeding.
   Explanation: In sports tournaments, ‘seeding’ involves dividing teams or players into halves or pools depending on their rankings or past performance. This prevents the top teams from facing each other in early stages, helping them to advance farther in the competition.