If a set contains n elements, then write the number of elements i… - Vidyadip

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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