Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSets1 Mark
Question
If a set contains n elements, then write the number of elements in its power set.
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Answer
Let A be a set. Then collection or family of all subsets of A is called the power set of A and is denoted by P(A). A set having n elements has $2^n$ subsets. Therefore, if A is a finite set having n elements, then P(A) has $2^n$ elements.
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