A market research group conducted a survey of 1000 consumers and repor – InterviewSolution

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1.	A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like product B. what is the least number that must have liked both products?
Answer» Here, Number of consumers those like product A`(n(A)) = 720` Number of consumers those like product B`(n(A)) = 450` Number of elements in universal set `(n(U)) = 1000` We know, `n(AuuB) = n(A)+n(B)-n(AnnB)` Also, `n(AuuB) <= n(U)` So, the least number of consumers those like both products`(n(AnnB)) =720+450-1000 = 170`

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