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

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

${ϕ, {x}, {y}, {x, y}}$

${ϕ, {x}, {2 y}}$

${ϕ, x, y}$

answer is D.

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Detailed 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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