In a basketball tournament, there are 12 teams participating. Each team competes in 22 games (each team faces the same opponent 2 times). Additionally, there are 6 playoff games, culminating in the championship game. How many matches are played in total during the tournament?

Answer Choices

Correct answer marked below

288

276

180

138

Correct

120

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Explanation

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Official Explanation

Official

To find the total number of matches played in the tournament, we first calculate the number of matches played by the teams. Each of the 12 teams plays 22 matches, so the total number of matches is given by [m] \frac{12…

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What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.