Question

A company conducted a marketing survey of college students and found that 185 own a bicycle and 68 owned a car. If 19 of those surveyed own both a car and a bicycle, how many interviewed have a car or a bicycle?

Answer 1

Answer:

The number of students who have both car and bicycle = 234

Explanation:

We have given that 185 students have bicycle so $n(A)=185$

And the students who have car are 68

So $n(B)=68$

Students who have both car and bicycle $n(A\cap B)=19$

From set theory we know that $n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$n(A\cup B)=185+68-19=234$

So the number of students who have both car and bicycle = 234