Question

Let $A$ is a finite set such that $n\left(A\right)=6$ then $n\left[P\right(A\left)\right]$ is

• A. $32$
• B. $36$
• C. $63$
• D. $64$

Answer 1

Answer: (D)

$64$

We have if a set contains $n$ element then its power set contains $2^n$ elements.

In our problem $n=6$.

Then $n\left[P\right(A\left)\right]=2^6=64$.