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Australian Intermediate Mathematics Olympiad 2021 Question 4

AIMO AUSTRALIA · Australian Intermediate Mathematics Olympiad 2021

Question 4

Three students Andrew, Louise and Elaine attempted 100 mathematics problems. Each of them solved exactly 60 problems. We call a problem easy if all three students solved it and difficult if only one student solved it. Given each problem was solved by at least one student, find the difference between the number of difficult problems and the number of easy problems.