Question

The value of $\left(A\cup B \cup C\right) \cap \left(A \cap B^{c} \cap C^{c}\right)^{c} \cap C^{c}$ , is

• A. $B \cap C^{c}$
• B. $B^{c} \cap C^{c}$
• C. $B \cap C$
• D. $A \cap B \cap C$

Answer 1

Answer: (A)

$B \cap C^{c}$

Answer 2

From Fig. (i), (ii) and (iii), we get $\left(A\cup B \cup C\right) \cap \left(A \cap B^{c} \cap C^{c}\right)^{c} \cap C^{c} = \left(B \cap C^{c}\right)$