In a group of $70$ people, $37$ like coffee, $52$ like tea and each person likes atleast one of the two drinks. The number of persons who like both coffee and tea is

16

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13

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19

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20

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Solution

The correct option is A $19$
Let the set of persons who like coffee be $C$ and the set of persons who like tea be $T$
Given $n (C \cup T) = 70$
$n (C) = 37$
$n (T) = 52$
$∴ n (C \cap T) = 52 + 37 - 70$
$= 19$

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In a group of 70 people, 37 like coffee, 52 like tea and each person likes atleast one of the two drinks. The number of persons who like both coffee and tea is

The correct option is A 19Let the set of persons who like coffee be C and the set of persons who like tea be TGiven n(C∪T)=70n(C)=37n(T)=52∴n(C∩T)=52+37−70=19

In a group of $70$ people, $37$ like coffee, $52$ like tea and each person likes atleast one of the two drinks. The number of persons who like both coffee and tea is

The correct option is A $19$
Let the set of persons who like coffee be $C$ and the set of persons who like tea be $T$
Given $n (C \cup T) = 70$
$n (C) = 37$
$n (T) = 52$
$∴ n (C \cap T) = 52 + 37 - 70$
$= 19$