Maths in action at the Rugby World Cup

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Maths in action at the Rugby World Cup
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That’s Maths: Knockout tournaments are dramatic in that each match results in immediate elimination of the losing team

The system is also better for ranking the teams, not just determining the winner. However, with many teams, these tournaments require large numbers of matches, increasing quadratically with size. For 20 teams, 190 matches are needed if each team plays each other once. The tournament could take months.Knockout tournaments are more dramatic and can produce very exciting matches. Each match results in immediate elimination of the losing team, so the knockout is a brief and brutal scheme.

With eight teams advancing from the pools, the knockout stage has three rounds. There is also a play-off for third place making a total of 48 matches in the tournament. In each match tied at 80 minutes, extra time is played. If the scores are still tied, a sudden-death period will be played. If there is still no change, a kicking competition determines the winner.

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