Question

Let U be the universal set and $A\cup B\cup C=U$. Then $\left[\right(A-B)\cup (B-C)\cup (C-A){]}^c$ is equal to

• A. $A\cup B\cup C$
• B. $A\cup (B\cap C)$
• C. $A\cap B\cap C$
• D. $A\cap (B\cup C)$

Answer 1

The correct option is C $A\cap B\cap C$

From Venn Diagram,

Clearly, $\left[\right(A-B)\cup (B-C)\cup (C-A){]}^c=A\cap B\cap C$.