In a tournament of 9 players, each plays every other player once. How many matches are played?

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Accepted Answer

1. Each match is played by a pair of players.
2. The number of pairs among 9 players is $\binom{9}{2}=\frac{9	imes8}{2}$.
3. Compute it: $\frac{9	imes8}{2}=36$.
4. So the total number of matches is **36**.
FINAL_ANSWER: d

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