Question

If A={1,2,3}, identify the power set of the given set A.

P(A)=

P(A)={ }

and

P(A)=

Answer 1

It follows that

$P(A)=\{X:X\subset\{1,2,3\}\}=\\ \{\emptyset,\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},A\}.$