A finite set with N distinct elements has 2N subsets.
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If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
The empty set has only one subset: itself. It has no proper subsets.
It depends on the set x. If set x is of cardinality n (it has n elements) then it has 2n subsets.
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