8 subsets
Subsets of Sets was created in 2001-08.
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)
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.
meaning of proper subsets
An element doesn't have subsets. Sets can have subsets.
There are no subsets of irrational numbers. There are subsets of rational numbers, however.
Elements belong to subsets: subsets contain elements (from the parent set).
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
32 different kinds of subsets
8 subsets
Subsets of Sets was created in 2001-08.
thenumber of subsets = 8formula: number of subsets =2n; wheren is thenumber of elements in the set= 2n= 23= 8The subsets of 1,2,3 are:{ }, {1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}
5 subsets of 4 and of 1, 10 subsets of 3 and of 2 adds up to 30.
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)
Only a set can have subsets, a number cannot have subsets.