In a subset each element of the original may or may not appear - a choice of 2 for each element; thus for 3 elements there are 2 × 2 × 2 = 2³ = 8 possible subsets.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
It depends on the set x. If set x is of cardinality n (it has n elements) then it has 2n subsets.
A finite set with N distinct elements has 2N subsets.
6
An element doesn't have subsets. Sets can have subsets.
A set with N elements has 2N subsets.
In a subset each element of the original may or may not appear - a choice of 2 for each element; thus for 3 elements there are 2 × 2 × 2 = 2³ = 8 possible subsets.
8 subsets
A set with 9 elements has 2^9 = 512 subsets.
Two. The set {x} has the subsets {} and {x}.
512 subsets
If the universal set contains N elements then it has 2N subsets.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
7.
Elements belong to subsets: subsets contain elements (from the parent set).
If you have a set of 6 elements, you can make a total of 26 different subsets - including the empty set and the set itself.