Question

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

Answer 1

9

Explanation:

let the people who like cold and hot drinks be P(c) and P(h) respectively.

P(U)=P(c)+P(h)-P(c∩h)

60=27+42-P(c∩h)

P(c∩h)=69-60

P(c∩h)=9

Answer 2

let the people who like cold drink and hot drink be n(c) and n(h) repectively.

n(U)=n(c)+n(h)-n(cnh)

60=27+42-n(cnh)

n(cnh)=69-60

n(cnh)=9