Question

Let $A \cup B \cup C = U$. Then $\{ ( A - B ) \cup ( B - C ) \cup ( C - A ) \} ^ { \prime }$ 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

Answer: (C)

$A \cap B \cap C$

Answer 2

From Venn-Euler's Diagram,

Clearly, $\{ ( A - B ) \cup ( B - C ) \cup ( C - A ) \} ^ { \prime } = A \cap B \cap C$.