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IMSO 2005 Mathematics Contest in Taiwan – Short Answer Question 6

IMSO Maths · IMSO 2005 Mathematics Contest in Taiwan – Short Answer

Question 6

There are 64 football teams in a tournament. They are first divided into 8 groups, each of eight teams. In each group they play a knockout tournament (when a team loses a game it is eliminated). The best of each group then plays each other once to decide the overall winner. How many matches must be played?