Two. The set {x} has the subsets {} and {x}.
The subsets of the set {1, 2, 3, 4, 5, 6} include all possible combinations of its elements, including the empty set. There are a total of (2^6 = 64) subsets, which range from the empty set to the full set itself. Some examples of subsets are {1}, {2, 3}, {4, 5, 6}, and {1, 2, 3, 4, 5, 6}. Each subset can vary in size from 0 to 6 elements.
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
7.
512 subsets
8 subsets
An element doesn't have subsets. Sets can have subsets.
Two. The set {x} has the subsets {} and {x}.
If the universal set contains N elements then it has 2N subsets.
The empty set has only one subset: itself. It has no proper subsets.
A set with 9 elements has 2^9 = 512 subsets.
The subsets of the set {1, 2, 3, 4, 5, 6} include all possible combinations of its elements, including the empty set. There are a total of (2^6 = 64) subsets, which range from the empty set to the full set itself. Some examples of subsets are {1}, {2, 3}, {4, 5, 6}, and {1, 2, 3, 4, 5, 6}. Each subset can vary in size from 0 to 6 elements.
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
Only a set can have subsets, a number cannot have subsets.
It depends on the set x. If set x is of cardinality n (it has n elements) then it has 2n subsets.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
7.