Question

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

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

Answer 1

Answer: (D)

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