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Let $A$ be a finite set of size $n$, the number of elements in the power set of $A \times A$ is

1. $2^{2^n}$
2. $2^{n^2}$
3. ${(2^n)}^2$
4. ${(2^2)}^n$

Cardinality of |A*A| = n2
Power Set of |A*A| = 2n^2

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