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

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

A
$\{x^{x}, y^{y}\}$
B
${ϕ, x, y}$
C
${ϕ, {x}, {2 y}}$
D
${ϕ, {x}, {y}, {x, y}}$

Solution:

Let $A = \{x, y\}$

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

$∴ P (A) = {ϕ, {x}, {y}, {x, y}}$

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