Question

If $A =\{ x , y \}$ then the power set of $A$ is:

• A. $\left\{x^{x}, y^{y}\right\}$
• B. $\{\phi, x , y \}$
• C. $\{\phi,\{ x \},\{2 y \}\}$
• D. $\{\phi,\{ x \},\{ y \},\{ x , y \}\}$

Answer 1

Answer: (D)

Let $A=\{x, y\}$
Power set $=$ Set of all possible subsets of $A$
$\therefore P ( A )=\{\phi,\{ x \},\{ y \},\{ x , y \}\}$