Elements belong to subsets: subsets contain elements (from the parent set).
If the universal set, U, has N elements then it has 2N subsets.
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
An element doesn't have subsets. Sets can have subsets.
The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.
512 subsets
A set with 9 elements has 2^9 = 512 subsets.
8 subsets
They are collections of some, or all, of the elements of the set. A set with n elements will have 2^n subsets.
A set with 50 elements has 250 subsets.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
A finite set with N distinct elements has 2N subsets.
If the universal set contains N elements then it has 2N subsets.