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.
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".