meaning of proper subsets
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
2n - 1
The empty set has only one subset: itself. It has no proper subsets.
The number of elements in the primary [proper] subsets of the universal set.
A fraction is a number, it is not a set. A number cannot have subsets, only a set can.
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)
The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.
Only a set can have subsets, a number cannot have subsets.
The null set is a proper subset of any non-empty set.
If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.