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Classical combi

Source: Saint Petersburg MO 2020 Grade 10 Problem 7

May 8, 2020
combinatorics

Problem Statement

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?