Question

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

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

Answer 1

The correct option is D $\{\varphi ,\left\{x\right\},\left\{y\right\},\{x,y\}\}$

The power set is all possible subsets of a set.
Thus power set of $A=\{x,y\}$ is $\{\varphi ,x,y,\{x,y\left\}\right\}$.