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Question

In a tournament of 7 players, each player plays every other player once. How many matches are there?

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is

21

In a round-robin tournament with n players, the number of matches is the number of ways to choose 2 players out of n, i.e. \(\binom{n}{2} = \dfrac{n(n-1)}{2}\).

For n = 7: \(\dfrac{7 \times 6}{2} = \dfrac{42}{2} = 21\).

Hence, there are 21 matches.

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