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?

Respuesta :

Answer:

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

Explanation:

We have given that 185 students have bicycle so [tex]n(A)=185[/tex]

And the students who have car are 68

So [tex]n(B)=68[/tex]

Students who have both car and bicycle [tex]n(A\cap B)=19[/tex]

From set theory we know that [tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]n(A\cup B)=185+68-19=234[/tex]

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