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100 schoolchildren, 4 tasks (II Soros Olympiad 1995-96 R2 9.4)

Source:

June 3, 2024
number theoryalgebra

Problem Statement

100100 schoolchildren took part in the Mathematical Olympiad. 44 tasks were proposed. The first problem was solved by 9090 people, the second by 8080, the third by 7070 and the fourth by 6060. However, no one solved all the problems. Students who solved both the third and fourth questions received an award. How many students were awarded?