Question

If n(A) = 20, n(B) = 50, n(AB) = 60 and n(B ) = 20, find n(AB) and n(U)​

Answer 1

Answer:

50

n(AΔB)=n(A∪B)−n(A∩B) [As n(A∪B)=n(A)+n(B)−n(A∩B)]

=n(A)+n(B)−2n(A∩B)

=50+20−2(10)=50

Answer 2

Answer:

50

Step-by-step explanation:

n(AΔB)=n(A∪B)−n(A∩B) [As n(A∪B)=n(A)+n(B)−n(A∩B)]

=n(A)+n(B)−2n(A∩B)

=50+20−2(10)=50