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SOLVED: Discrete Math 19) For each operation * given below, describe whether * is a binary operation, commutative, or associative. In the event that * is not a binary operation, give justification for this.a) On Z, a * b = a - bb) On Q, a * b = ab 1c) On Q, a * b = ab/2d) On Z, a * b = 2abNote that Z is the set of integers and Q = 1, 2, 3, ... is the set of natural numbers.10a) Determine the order of each element of the multiplicative group G, where G = 1, -1, i, -i. Note that i = -1.b) Determ

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