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Question

If $A equals left curly bracket x comma blank y right curly bracket$ , then the power set of $A$ is

${x^{y}, y^{x}}$
${ϕ, x, y}$
${ϕ, \{x\}, {2 y}}$
${ϕ, \{x\}, \{y\}, {x, y}}$

The correct answer is: $left curly bracket ϕ comma blank open curly brackets x close curly brackets comma blank open curly brackets y close curly brackets comma blank left curly bracket x comma blank y right curly bracket right curly bracket$

Since, power set is a set of all possible subsets of a set.
$therefore blank P open parentheses A close parentheses equals left curly bracket ϕ comma blank open curly brackets x close curly brackets comma blank open curly brackets y close curly brackets comma blank left curly bracket x comma blank y right curly bracket right curly bracket$

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