Question

in an option poll among 80 person , 50 persons showed interest for single screen Cinemas and 70 person like Multiplex find the minimum and maximum person who like both the cinemas respectively​

Answer 1

maximum persons=100

minimum person=20

Answer 2

n(A U B)= n(A)+n(B)-n(A intersection B)

n(A union B) = 80

n(A)=50

n(B)=70

n(A interesction B)=??

Put values in formula ..

we get,

80=50+70-n(A intersection B)

80=120-n(A intersection B)

80-120=-n(A intersection B)

-40=-n(A intersection B)

n(A intersection B)=40

so,

no of person who like both cinemas respectively are 40..