If the set has n elements, the number of subsets (the power set) has 2n members.
If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.
The number 8 is not a set and so cannot have any subsets. The set consisting of the number 8 is a set and, since it has only one element in it, it has two subsets: itself and the null set.
512 subsets
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
If the set has n elements, the number of subsets (the power set) has 2n members.
Use 2^ n where n is number of elements
A set with n elements has 2^n subsets.
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)
To find how many proper subsets there are in a set you can use the formula n^2 -n and if you would also like to find all subsets including improper the formula is n^2 -n +1
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.
If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.
An empty subset is a part of every set because it is necessary to satisfy the equation of subsets which is 2n. n= (number of elements). Therefore, an empty set is required to satisfy the formula of subsets.
A finite set with N distinct elements has 2N subsets.
If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.
The number 8 is not a set and so cannot have any subsets. The set consisting of the number 8 is a set and, since it has only one element in it, it has two subsets: itself and the null set.