Let * be the binary operation on the set {1, 2, 3, 4} defined by a * b – InterviewSolution

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1.

Let * be the binary operation on the set {1, 2, 3, 4} defined by a * b = HCF of a and b. Compute (2 * 3) * 4 and 2 * (3 * 4).

Answer»

(2 * 3) * 4 = (HCF of 2 and 3) * 4 = (1 * 4) = 1

2 * (3 * 4) = 2 * (HCF of 3 and 4) = 2 * 1 = 1

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