6
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
The empty set has only one subset: itself. It has no proper subsets.
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
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
8 subsets
An element doesn't have subsets. Sets can have subsets.
A set with 9 elements has 2^9 = 512 subsets.
512 subsets
If the universal set contains N elements then it has 2N subsets.
7.
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.
For a set with ( n ) elements, the number of possible subsets is given by ( 2^n ). Therefore, with 7 elements, the number of subsets is ( 2^7 ), which equals 128. This includes the empty set and the set itself as subsets.
Elements belong to subsets: subsets contain elements (from the parent set).
The empty set has only one subset: itself. It has no proper subsets.
The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.