Question:

A tournament where every team plays with every other team once and the number of matches is determined with the help of the formula \(N(N-1)\) is called as:

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In a single league tournament, every team plays each other once, and the formula \(N(N-1)\) calculates the total number of matches.
  • knockout tournament
  • double league tournament
  • single league tournament
  • none of these
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The Correct Option is C

Solution and Explanation

In a single league tournament, each team plays against every other team exactly once. The formula \(N(N-1)\) calculates the total number of matches, where \(N\) is the number of teams in the tournament. Step 1: Analyzing each option.
  • (A) Knockout tournament: Incorrect. In a knockout tournament, each team plays only once and gets eliminated after losing a match.
  • (B) Double league tournament: Incorrect. A double league tournament involves teams playing against each other twice, but the formula provided is specific to a single league tournament.
  • (C) Single league tournament: Correct. In a single league tournament, every team plays each other once, and the formula \(N(N-1)\) calculates the total number of matches.
  • (D) None of these: Incorrect. The correct answer is (C).
Step 2: Conclusion.
Thus, the correct answer is (C), single league tournament. Final Answer:} Single league tournament.
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