In a soccer tournament, 25 teams compete, earning 4 points for a victory and 2 points for a tie. If every team faces each other once and the cumulative points accumulated by all teams is 680, how many matches ended in a tie?

Answer Choices

Correct answer marked below

245

250

255

260

Correct

265

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Official Explanation

Official

Given: 25 teams compete in a soccer tournament, receiving 4 points for a win and 2 points for a tie. We need to determine how many matches ended in a tie, given that the total points accumulated by all teams is 680. The total number of matches played is calculated as 25C2 = 300.…

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Comments

JeremiJan 30, 2025

thanks for the answer

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.