mark each statement TRUE or FALSE. Assume that the statement applies to all sets.
-$$\text { There is a set } A \text { such that } | \mathcal { P } ( A ) | = 12 \text {. }$$

Question

Quizplus · Accepted Answer

The cardinality of the power set $\mathcal{P}(A)$ is $2^n$, where $n$ is the number of elements in set $A$. Since 12 is not a power of 2, there cannot be a set $A$ such that $|\mathcal{P}(A)| = 12$.

Mark Each Statement TRUE or FALSE There is a set A such that ∣P(A)∣=12. \text { There is a set } A \text { such that } | \mathcal { P } ( A ) | = 12 \text {. } There is a set A such that ∣P(A)∣=12.

Mark Each Statement TRUE or FALSE $\text { There is a set } A \text { such that } | \mathcal { P } ( A ) | = 12 \text {. }$