let the power set of b) [a,{1,2}]
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Suppose A has [math]n[/math] elements. Power set B of a set A consists of all subsets of A. Since for each element in A, we have two possibilities it is either in the subset or not, there are [math]2^n[/math] different subsets of A. Therefore, when A [math]= \{1,2,3\}[/math], power set of A has [math]8[/math] elements, i.e. B has [math]8[/math] elements. So, power set of B has [math]2^8[/math] elements.
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