# In a group

Let T be the set of people who like Tea,

and C be the set of people who like Coffee.

Number of people who like Tea = n(T) = 52

Number of people who like Coffee = n(C) = 37

Number of people who like at least tea or Coffee = n(T C ) = 70

Number of people who like both tea and Coffee = n(T C )

We know that-

n(T C) = n(T)+ n(C) - n(T C)

70 = 52+37 - n(T C)

70 = 89 - n(H E)

n(H E) = 89-70

n(H E) = 19

Thus, 19 people like both Tea and Coffee.

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