Question

If $n\left[P\right(A\left)\right]=64$, then $n\left(A\right)$ is:

• A. $6$
• B. $8$
• C. $4$
• D. $5$

Answer 1

The correct option is A $6$

If $n\left(A\right)=k\Rightarrow n\left(P\right(A\left)\right)=2^k$
Here, $n\left(P\right(A\left)\right)=2^k=64=2^6$
$\Rightarrow k=6$
$\therefore n\left(A\right)=6$
Option A is correct.