Let A, B, C be three sets such that $A∪B∪C=U$, where U is the universal set. Then, $\{(A-B)∪(B-C)∪(C-A)\}'$ is equal to
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $A∩B∩C$
We have,
$\{(A-B)∪(B-C)∪(C-A)\}'$
$=(A-B)'∩(B-C)'∩(C-A)'$
$=A∩B∩C$ [See Venn-Diagram]