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,
$(A^{\prime }\cap B^{\prime }\cap C)\cup (B\cap C)\cup (A\cap C)$
= Total shaded portion = C