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A market research group conducted a surv...

A market research group conducted a survey of 2000 consumers and reported that 1720 consumers liked product `P_1` and 1450 consumers like product `P_2dot` What is the least number that must have liked both the products?

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consumers=`2000`
`P_1` liked by`=1720`
`P_2` liked by=`1450`
`N(P_1 nn P_2)=3170-2000`
...
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