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If for sets A and B there exists an injective function but not bijective function from A to B then?(a) Cardinality of A isstrictly greater than B(b) Cardinality of B isstrictly greater than A(c) Cardinality of B is equal to A(d) None of the mentionedThe question was posed to me by my school teacher while I was bunking the class.Asked question is from Cardinality of Sets topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer»

The correct choice is (B) Cardinality of B isstrictly greater than A

The BEST I can explain: If there doesnot exist a bijective function from A to B that MEANS there are some ELEMENTS in B whose PREIMAGE is not in A, thus cardinality of B is strictly greater than A.



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