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In a group of people, 37 like coffee, 52...

In a group of people, 37 like coffee, 52 like tea and each person in the group likes at least one of the two drinks. 19 people like both tea and coffee, how many people are in the group?

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Let T =The set of persons who like Tea.
C= The set of persons who like coffee According to the question `|C|=37,|T|=52 and |T nn C |=19` Total number of persons in the group `=|T uu C | = | T| + |C|-|T nn C|`
`=37+52-19=70`
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