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Question
In a group of 70 people, 37 like coffee, 52 like tea and each person like atleast one of the two drinks. The number of persons liking both coffee and tea is
In a group of 70 people, 37 like coffee, 52 like tea and each person like atleast one of the two drinks. The number of persons liking both coffee and tea is
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Solution
The correct option is C 19
Let n(C∩T)=x
∴n(C∪T)=n(C)+n(T)−x=37+52−x
⇒70=89–x
⇒x=19
Let n(C∩T)=x
∴n(C∪T)=n(C)+n(T)−x=37+52−x
⇒70=89–x
⇒x=19
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