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A school organized a knockout football competition in which 23 teams played. What was the least number of matches they needed to play to decide the winner?

  • A.11 matches
  • B.62 matches
  • C.21 matches
  • D.22 matches

Answer: D

Correct answer: 22 matches

Every match eliminates exactly one team, and all but the winner must be eliminated, so 23 teams require 22 matches. The argument is independent of how the byes and rounds are arranged, which is why it gives the answer at once where counting through the rounds would be laborious.

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