A group of people are asked about their favourite subject when they were in school. The number of people who said they liked math was 216 , the number who say they liked science was 139 and the number who say they like math OR science is 300 . How many people like both math AND like science?

6 months ago

Answered By Majid B

A: set of people who said they liked math

B: set of people who said they liked science

n(A)= 216

n(B)=139

n(AUB)=300

n(AUB)=n(A)+n(B)-n(A∩B)

300=216+139-n(A∩B)

n(A∩B)=216+139-300=55

Then the number of people who like both math AND science is 55.

6 months ago

## Answered By Majid B

A: set of people who said they liked math

B: set of people who said they liked science

n(A)= 216

n(B)=139

n(AUB)=300

n(AUB)=n(A)+n(B)-n(A∩B)

300=216+139-n(A∩B)

n(A∩B)=216+139-300=55

Then the number of people who like both math AND science is 55.