The number of subjects will depend on what the elements of the set are. The number of subsets is 2a.
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
A set with 50 elements has 250 subsets.
A set with N elements has 2N subsets.
7.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
The number of subjects will depend on what the elements of the set are. The number of subsets is 2a.
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different 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)
An element doesn't have subsets. Sets can have subsets.
8 subsets
A set with 9 elements has 2^9 = 512 subsets.
A set with 50 elements has 250 subsets.
A set with N elements has 2N subsets.
7.
Hi Suppose, I found that number of subsets of set S having n elements can be found by using formula 2^n, where n is number of elements of S. Let S(n) represents number of subsets of set S having n elements. S(n) = 2^n S(n+1) = 2^(n+1)
If the universal set contains N elements then it has 2N subsets.