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.