Question

Nandita is a class XII student of Physical Education. She is also a member of the Sports Committee that is organising a football tournament of 13 teams. The school management decides to allocate only two days for the tournament and sanctions a small amount for it.

Which type of tournament should Nandita organise considering the time and budget constraints? Draw a fixture for this tournament stating its formula.

Answer 1

Nandita should plan the Single Elimination Tournament within schedule and financial restrictions. A single-elimination competition for four teams consists of two rounds, with a player eliminated after losing once. In the first round, bidders are randomly assigned to two matches. The losers from the first two rounds are eliminated. The winners of the two first-round matches proceed to the second round and meet each other. The loser of the second round match will be eliminated. The winner of the second round match wins the event and receives the prize.

For example, suppose there are 13 teams in the tournament, the formula for determining the number of games is as follows:

N − 1 = the total number of games

Where N = the number of teams in the competition

The formula for determining the number of games:

13 − 1 = 12 [where N equals 13]

The event will feature 12 matches.