Mathematics
Statement I: An empty set, a singleton set and a set of prime numbers are all finite sets.
Statement II: The cardinal number of a set is always non-negative.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Sets
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Answer
Statement I: The empty set has 0 elements (finite) and a singleton set has 1 element (finite). However, the set of all prime numbers is {2, 3, 5, 7, 11, 13, ……}, which is an infinite set. So, Statement I is false.
Statement II: The cardinal number of a finite set is the number of different elements in the set, which is always 0 or a positive integer i.e. it is always non-negative. So, Statement II is true.
Hence, option 2 is the correct option.
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