Question:medium

Formula to find out the number of matches in a Knockout Tournament is:

Updated On: Jan 16, 2026
  • N/2
  • N-1
  • N(N-1)
  • (N+1)
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The Correct Option is B

Solution and Explanation

A knockout tournament aims to identify one victor from N competitors. Every match eliminates one participant, continuing until only one remains undefeated. To achieve a single winner, every other participant must be eliminated exactly once. Consequently, if each match eliminates one participant, the total number of matches equals the number of participants minus one, as each match accounts for one elimination.

This principle dictates the formula for calculating the total matches in a knockout tournament:

Total Matches = N - 1

Therefore, with N participants, N - 1 matches are necessary to complete the tournament and establish a single winner.

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