That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
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If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.
If the set has n elements, the number of subsets (the power set) has 2n members.
The number 8 is not a set and so cannot have any subsets. The set consisting of the number 8 is a set and, since it has only one element in it, it has two subsets: itself and the null set.
512 subsets
If the universal set, U, has N elements then it has 2N subsets.