We do not know what is in set A.
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.
512 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.
512 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
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
If the set has n elements, the number of subsets (the power set) has 2n members.