We do not know what is in set A.
A set with six elements has a total of (2^6 = 64) subsets, including the empty set. To find the number of subsets with at least one element, we subtract the empty set from the total number of subsets. Therefore, the number of subsets with at least one element is (64 - 1 = 63).
Two. The set {x} has the subsets {} and {x}.
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.
2n - 1
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
An element doesn't have subsets. Sets can have subsets.
Two. The set {x} has the subsets {} and {x}.
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.
Only a set can have subsets, a number cannot have subsets.
6
2n - 1
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
The number of subsets of a given set, including the set itself and the empty set, is 2n. Easiest way to see why: to make a particular subset, for each element in the original set you either chhose it or you don't. There are thus two possibilities for each element, so 2n possibilities for all n elements.
Let's say the set S has n elements. An element can be either in the subset or not in the subset. So There are two ways for one element. Therefore the number of subsets of a set of n elements is 2 multiplied n times which is 2^n
512 subsets
For a set with ( n ) elements, the number of possible subsets is given by ( 2^n ). Therefore, with 7 elements, the number of subsets is ( 2^7 ), which equals 128. This includes the empty set and the set itself as subsets.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.