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. \(\frac{n-1}{2}\)

Hint:

In a round-robin tournament, each team competes against every other team, and the total number of matches can be determined using \(\frac{n(n-1)}{2}\).

Answer 1

The Correct Option is A

The formula \(\frac{n(n-1)}{2}\) is used to calculate the number of matches in a round-robin tournament, where every team plays against each other. This formula works for tournaments with an even number of teams, where \(n\) represents the total number of teams.