8 subsets
If the universal set contains N elements then it has 2N subsets.
give the total subset of set with 9 elements
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)
6
6
An element doesn't have subsets. Sets can have subsets.
There are 6 such subsets of B.
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 50 elements has 250 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!
7.
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".