Question

In a class tournament, each of eight players will play exactly once. How many matches will be played during the tournament?

• A. 28
• B. 15
• C. 56
• D. 30

Hint:

Use the combination formula \( \binom{n}{2} \) for unique pairings of \(n\) players.

Answer 1

The Correct Option is A

In a round-robin where every player plays with every other once: \[ \text{Total matches} = \binom{8}{2} = \frac{8 \times 7}{2} = \boxed{28} \]