Question

Which of the following formula can be used to determine the number of matches in a single league tournament if even number of teams are participating?

• A. \(\frac{n(n-1)}{2}\)
• B. \(\frac{n+1}{2}\)
• C. \(\frac{n(n+1)}{2}\)
• D. \(n-1\)

Hint:

In a round-robin tournament, each team plays against every other team exactly once, and the formula \(\frac{n(n-1)}{2}\) calculates the total number of matches required for such a setup.

Answer 1

The Correct Option is A

The formula \(\frac{n(n-1)}{2}\) is used to calculate the number of matches in a single league tournament, where \(n\) is the total number of teams. This is the standard formula for a round-robin tournament where every team plays against every other team. In an even-numbered team setup, this formula calculates the total number of pairings or matches that can be held.