Question

A set contains $n$ elements. The power set of $A$ contains

• A. $nelements$
• B. $2^{n}elements$
• C. $n^{2}elements$
• D. $noneofthese$

Answer 1

The correct option is B

$2^{n}elements$

Explanation for the correct option:

$n\left\{P\left(A\right)\right\}=2^n$

Therefore, number of set having $n$ elements contain ${\mathbf{2}}^{\mathbf{n}}$ elements.

Hence, Option ‘B’ is Correct.