Question

In a group of 60 people, 27 like coffee, 42 like tea and each person likes at least one of the two drinks. How many like both coffee and tea?

• A. 8
• B. 9
• C. 10
• D. 12

Answer 1

The correct option is B 9

Let A = Set of people who like coffee, B = Set of people who like tea

Given: $n(A\cup B)=60,n\left(A\right)=27,n\left(B\right)=42$

Now, $n(A\cap B)=n\left(A\right)+n\left(B\right)-n(A\cup B)$

= 27 + 42 - 60

= 9

Therefore, 9 people like both coffee and tea.