A set with 50 elements has 250 subsets.
512 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.
Well, honey, a set with "n" elements has 2 to the power of "n" subsets. So, if you've got a set with 5 elements, you're looking at 2 to the power of 5, which is 32 subsets. Math doesn't have to be boring, darling!
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).
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.
The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.