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If n(A X B) = n(B X A) = 36 then which of the following may hold true?(a) n(A)=2, n(B)=18(b) n(A)=9, n(B)=4(c) n(A)=6, n(b)=6(d) None of the mentionedThis question was posed to me in an interview.This is a very interesting question from Cartesian Product of Sets topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer»

The correct OPTION is (c) N(A)=6, n(b)=6

Explanation: n(A) should be equal to n(B) for n(A X B) = n(B x A).



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