The Knockout TournamentIn a classic �knockout� tournament, each entrant plays a match against a single opponent, and the winner goes through to the next round. This continues until there is just one person left - the Champion ! The process of organising the competition is simple if there 8 entrants :
If there are only 6 entrants, the situation is a little more complicated, and the organizer has to arrange for some entrants to get �byes� into the second round: (see C and D below )
The Problem :6 entrants needed 3 rounds and a total of 5 matches to be played. There were 2 �byes�. How many rounds, and how many matches in total, need to be played if there were 25 entrants instead ? How many �byes� will be given in the first round ? Draw up a possible match �tree� for this tournament. What would be the requirements for a tournament with 100 entrants ? Open the File as a Word Document
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