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If set A has 4 elements and B has 3 elements then set n(A X B) is?

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If set A has 4 elements and B has 3 elements then set n(A X B) is?

(a) 12

(b) 14

(c) 24

(d) 7

I have been asked this question in an international level competition.

Question is taken from Cartesian Product of Sets topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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The correct option is (a) 12

Explanation: The total elements in n(A X B) = n(A) * n(B).

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