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A company studies the product preference...

A company studies the product preferences of 300 consumers. It was found that 226 liked product A, 51 liked product B, 54 liked product C,21 liked products A and B , 54 liked products A and C, 39 liked products B and C and 9 liked all the three products. Prove that, the study results are not correct. [ Assume that each consumer likes at least one of the three products.]

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