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If set A has 3 elements then number of elements in A X A X A are __________

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If set A has 3 elements then number of elements in A X A X A are __________

(a) 9

(b) 27

(c) 6

(d) 19

I got this question at a job interview.

I'm obligated to ask this question of Cartesian Product of Sets topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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The correct option is (b) 27

Easiest explanation: n(A X A X A) = n(A)* n(A)* n(A).

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