512 subsets
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 ( n ) elements has ( 2^n ) subsets. For the set ( {1, 2, 3, 4, 5, 6} ), which has 6 elements, the number of subsets is ( 2^6 = 64 ). Therefore, the set ( 123456 ) has 64 subsets.
In a set with six elements, the total number of subsets is calculated using the formula (2^n), where (n) is the number of elements. For six elements, this results in (2^6 = 64) subsets. This includes the empty set and the set itself. Therefore, there are 64 total subsets in a set with six elements.
A set with 50 elements has 250 subsets.
The number of subjects will depend on what the elements of the set are. The number of subsets is 2a.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
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.
7.
If the universal set contains N elements then it has 2N subsets.
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)
There are 2100 = 1.268*1030 or 1,268 octllion subsets with an odd number of elements.