If a set has "n" elements, then it will have 2n subsets. This number of subsets is always larger than the number of elements - whether the set is finite or infinite.
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Assuming no restrictions on the set, the cardinality of a set, n, is related in this form # of subsets = 2n
00 is not a set but the number zero written as a 2-digit number. The set {00} has cardinality 1.
even though its carnality is 0 one of its properties says that the only subset of the null set is the empty set * * * * * 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.
The cardinality of a finite set is the number of elements in the set. The cardinality of infinite sets is infinity but - if you really want to go into it - reflects a measure of the degree of...
The cardinality of a set is its size. For instance, since the set G contains 4 elements, then its cardinality is 4. So if the set has a finite number of elements (meaning it is a finite set), you can find its cardinality, otherwise you cannot (meaning it is an infinite set).