If A=x, y then the power set of A is :

# If  then the power set of $A$ is :

1. A

$\left\{{x}^{x},{y}^{y}\right\}$

2. B

$\left\{\varphi ,x,y\right\}$

3. C

$\left\{\varphi ,\left\{x\right\},\left\{2y\right\}\right\}$

4. D

$\left\{\varphi ,\left\{x\right\},\left\{y\right\},\left\{x,y\right\}\right\}$

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### Solution:

Let

Power set = Set of all possible subsets of $A$

$\therefore \mathrm{P}\left(\mathrm{A}\right)=\left\{\varphi ,\left\{\mathrm{x}\right\},\left\{\mathrm{y}\right\},\left\{\mathrm{x},\mathrm{y}\right\}\right\}$

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