Question

If n(E) = 48 and n(A'U B') = 36, then find n(A intersection B)​

Answer 1

n(E) = 48

n(A'U B') =36

n(AU B) = 48-36

= 12

Answer 2

Step-by-step explanation:

(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)=7

n(B)=9

n(A∪B)=14

Substituting in 1

14=7+9−n(A∩B)

⇒n(A∩B)=16−14=2