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If C = {1} then C X (C X C) = (C X C) X C the given statement is true or false.(a) True(b) FalseI have been asked this question during an interview for a job.This interesting question is from Cartesian Product of Sets topic in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer»

The correct choice is (B) False

The BEST explanation: The Cartesian PRODUCT is not associative, (C × C) × C = { ((1, 1), 1) } ≠ { (1,(1, 1)) } = C × (C × C).



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