Question

If the set $A$ contains $5$elements, then the number of elements in the power set $P\left(A\right)$ is equal to

• A. $32$
• B. $25$
• C. $16$
• D. $8$
• E. $10$

Answer 1

The correct option is A

$32$

Explanation for the correct option

Given that set $A$ contains $5$ elements i.e. $n\left(A\right)=5$

Then number of elements in power set $P\left(A\right)=2^n$

Here $n=5$

$\Rightarrow n\left(P\left(A\right)\right)=2^5=32$

Hence, the correct option is option (A) i.e. $32$.