give the total subset of set with 9 elements
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.
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".
There are 512 subsets in 123456789. This is because there are 9 elements. Take 2, and make it to the 9th power, this is 512, so there are 512 subsets.
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.