In a league consisting of 10 teams, each team competes against every other team two times. Given that each match involves 2 teams, how many matches are played in total?

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100

110

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Official Explanation

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To determine the total number of matches, we first calculate how many matches occur when each team plays against the other teams. The first team plays against 9 other teams, resulting in 9 matches. Continuing this…

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Comments

julesJun 28, 2024

taking my GMAT next month, this helps!

GiovannaDec 22, 2024

Thank for sharing!

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.