Question

4.
If n(A) = 43, n(B) = 51 and n(AUB) = 75, then n((A-B) U (B - A)) =
A) 53
B) 45
C) 56
D) 66
E) 46​

Answer 1

Answer:

56

Explanation:

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

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

=43+51-75

=19

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

=43-19

=24

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

=51-19

=32

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

=24+32

=56