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How many matches does a knockout tournament need?

A 127-player single-elimination tournament needs a schedule even though its opening bracket is not a neat power of two. Can you work out the number of matches without drawing every round? Look for something each completed match changes, then test whether byes affect the count.

2–3 min

Questions you could explore

  • What must happen to every entrant except the champion in a single-elimination tournament?
  • Why do byes not change the total number of eliminations needed?
  • How would a third-place playoff or double-elimination format change the assumptions?

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How many matches does a knockout tournament need? | Speech Topic | speaking.app