Question

Let A be a finite set of size n the number of power set of AxA is

• A. $2^{2n}$
• B. $2^{n2}$
• C. $(2^n{)}^2$
• D. $(2^2{)}^n$

Answer 1

Answer: (B)

$2^{n2}$

Let A be a finite set of size n the number of power set of AxA is 2^n2.

The power set of a set A is the collection of all subsets of A. It contains every possible subset of A, including the empty set and the set A itself.

The power set of any set S is the set of all subsets of S, including the empty set and S itself, variously denoted as P(S).