Question

If $A=\{1,3,5,7\}$, then what is the cardinality of the power set $P\left(A\right)$?

• A. $8$
• B. $15$
• C. $16$
• D. $17$

Answer 1

The correct option is C $16$

Cardinality is the number of elements in a set.

Now, the number of elements in the power set of a set containing $n$ elements is $2^n$

Here $n=4$,

So, no. of elements in power set of $A$ is $2^4=16$

Hence, option C is correct.