Two. The set {x} has the subsets {} and {x}.
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
5 subsets of 4 and of 1, 10 subsets of 3 and of 2 adds up to 30.
8 subsets
An element doesn't have subsets. Sets can have subsets.
Two. The set {x} has the subsets {} and {x}.
Well, honey, a set with "n" elements has 2 to the power of "n" subsets. So, if you've got a set with 5 elements, you're looking at 2 to the power of 5, which is 32 subsets. Math doesn't have to be boring, darling!
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.
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.