Partitioning is dividing a set of things into subsets such that the union of all the subsets is the original set and the intersection of any two subsets is the null set. That is, between them, the subsets account for the whole of the original set and there are no elements in more than one subset.
Well honey, the set {1, 2, 3, 4, 5, 6, 7, 8, 9} has 9 elements, so it will have 2^9 subsets, including the empty set and the set itself. That's a grand total of 512 subsets. Math can be sassy too, you know!
8 subsets
An element doesn't have subsets. Sets can have subsets.
Two. The set {x} has the subsets {} and {x}.
The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.
A finite set with N distinct elements has 2N subsets.
A set with N elements has 2N subsets.
A set of which all the elements are contained in another set. The set of even numbers is a subset of the set of integers.
If the set has n elements, the number of subsets (the power set) has 2n members.
Elements belong to subsets: subsets contain elements (from the parent set).
If the universal set contains N elements then it has 2N subsets.