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If there is a bijection between two sets A and B then _______

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If there is a bijection between two sets A and B then _______

(a) Cardinality of A is greater than B

(b) Cardinality of B is greater than A

(c) Cardinality of B is equal to A

(d) None of the mentioned

The question was posed to me by my college professor while I was bunking the class.

Enquiry is from Cardinality of Sets topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Correct choice is (c) Cardinality of B is equal to A

Explanation: If there is bijection then two sets A and B will be equinumerous and thus will have same cardinality.

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