Question -
Answer -
We have,
A total number of people = 70
Number of people who like Coffee = n (C) = 37
Number of people who like Tea = n (T) = 52
Total number = n (C ∪ T) = 70
Person who likes both would be n (C ∩ T)
We know,
n (C ∪ T) = n (C) + n (T) – n (C ∩ T)
Substituting the values we get
70 = 37 + 52 – n (C ∩ T)
70 = 89 – n (C ∩ T)
n (C ∩ T) =19
∴ There are 19 persons who like both coffee and tea.