8 subsets
If the universal set contains N elements then it has 2N subsets.
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.
Since 213 = 8192, there are 8192 elements in the set.
To get the number of subsets of size less than 2:Total number of subsets of a set of size N is 2NTotal number of subsets of size 1 is 100Total number of subsets of size 0 is 1Total number of subsets of size 2 is 100*99/2 = 4950Sum up: 100 + 1 + 4950 = 5051Subtract this from total subsets: 2100 - 5051 (Answer)
A set with 9 elements has 2^9 = 512 subsets.
An element doesn't have subsets. Sets can have subsets.
512 subsets
8 subsets
Elements belong to subsets: subsets contain elements (from the parent set).
A set with 50 elements has 250 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.
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!
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.