(g) If (S, *) is a monoid, where S = {1, 2, 3, 6} and * is defined by

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Module 1: Sets, Relation and Function.

20192m

(g) If (S, *) is a monoid, where S = {1, 2, 3, 6} and * is defined by a * b = lcm(a, b), where a, b ∈ S, then the identity element is
(i) 1
(ii) 2
(iii) 3
(iv) 6

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