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Question

Two sets A and B have a cardinality of 4. Then sets A and B.

A
are equal sets
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B
may be equal sets
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C
singleton sets
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Solution

The correct option is B may be equal sets
Given n(A) = 4, n(B) = 4
Two sets A and B have the same cardinality, i.e., the number of elements in A and B are same.
Equal sets are sets which have the same elements. Here, we are not given the elements of sets A and B to compare if they are same.
E.g. if A = {1, 2, 3, 4} and B = {a, b, c, d}; they have the same cardinality. But they are not equal.
Hence, sets A and B maybe equal.

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