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RU-SPB 2020 Problem 107

  • Grade 10

The exam has 2525 topics, each of which has 88 questions. On a test, there are 44 questions of different topics. Is it possible to make 5050 tests so that each question was asked exactly once, and for any two topics there is a test where are questions of both topics?

Dataset text AI-MO AoPS. Quoted with source.

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