Question

What is the simplified representation of $(A´ \cap B´ \cap C) \cup (B \cap C) \cup (A \cap C)$, where A,B, C are subsets of a set X?

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

Answer 1

Answer: (C)

We draw Venn diagram of the problems.
Different shaded portion has been shown.
As given, A, B, C $\subset$ X
Therefore,
$(A ' \cap B' \cap C) \cup (B \cap C) \cup (A \cap C)$
= Total shaded portion = C