512 subsets
A set with N elements has 2N subsets.
7.
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
An element doesn't have subsets. Sets can have subsets.
512 subsets
8 subsets
A set with 9 elements has 2^9 = 512 subsets.
Elements belong to subsets: subsets contain elements (from the parent set).
A set with N elements has 2N subsets.
7.
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
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.
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.
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.