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even though its carnality is 0 one of its properties says that the only subset of the null set is the empty set
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Carnality refers to sexual desires and I would be greatly surprised if the null set had any of those!
The number of subsets of a set whose cardinality is C(S) is 2C(S).
The cardinality of the null set is, as the answer was trying to say, 0. So the number of its subsets is 2C(S) = 20 = 1.
A null set has one subset - which is also a null set.
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Does every set have a subset?
Yes. One of the subsets is the set itself. The other is the null set.
What are the subsets of number 8?
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.
Does every set have a proper subset?
No. The null set cannot have a proper subset. For any other set, the null set will be a proper subset. There will also be other proper subsets.
What is the power set?
The power set of a set, S, is the set containing all subsets of S - including S, itself, and the null set.
What is power sets in mathematics?
If tiu have a set S, its power set is the set of all subsets of S (including the null set and itself).
