Mathematics

Mathematics

Problem

A market research study on three products XX, YY, and ZZ shows that 5050 people like XX, 4545 like YY, and 4040 like ZZ. It is known that 1515 people like both XX and YY, 1212 like YY and ZZ, and 1818 like XX and ZZ. If the total number of people who like at least one product is 9595, find the number of people who like all three products.

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