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Sixteen teams enter a knockout tournament; the loser of every match is out. How many matches are needed to find the champion?

Competition practicePermutations & Combinations
  • A16
  • B120
  • C15
  • D8

Step-by-Step Solution

Each match knocks out exactly one team, and 15 teams must be knocked out: 15 matches (8 + 4 + 2 + 1). (120 would be a league where every pair plays.)
Answer: C) 15

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