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Let a set E ={0,2,4,6,8….} of non-negative even numbers and O = {1, 3, 5, 7, 9,…..} of non-negative odd numbers then?

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Let a set E ={0,2,4,6,8….} of non-negative even numbers and O = {1, 3, 5, 7, 9,…..} of non-negative odd numbers then?

(a) Cardinality of set E is greater than that of O

(b) Cardinality of set O is greater than that of E

(c) Cardinality of set  E is equal to that of O

(d) None of the mentioned

I have been asked this question in an interview.

My question is based upon Cardinality of Sets in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Correct choice is (c) Cardinality of set  E is equal to that of O

Explanation: There is bijection then two sets E and O and they will be equinumerous and thus will have same cardinality.

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