Question

In a group of 100 persons, 80 take tea, 30 take coffee and 20 take both of tea and coffee. How many persons takes neither tea nor coffee?

Answer 1

The total group is of 100 people.

Number of people who drink tea n(T) = 80

People who don’t like tea n(A) = 20

Number of people who drink coffee n© = 30

People who don’t like coffee n(B) = 70

Number of people who take both n(C intersection T) = 20

People who don’t like coffee or tea n(A intersection B) = n(A) + n(B) – n (C intersection T)

20 + 70 – 20

= 70