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Which of the following statements regarding sets is false?

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Which of the following statements regarding sets is false?

(a) A X B = B X A

(b) A X B ≠ B X A

(c) n(A X B) = n(A) * n(B)

(d) All of the mentioned

I had been asked this question during an online interview.

My doubt stems from Cartesian Product of Sets topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Right option is (a) A X B = B X A

Explanation: The Cartesian product of sets is not commutative.

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