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Consider a binary operation * on the s...

Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table Compute (2*3) *4 and 2* (3*4) Is * commutative? (iii) Compute (2*3)*(4*5)

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To solve the given problem step by step, we will refer to the binary operation * defined on the set {1, 2, 3, 4, 5} using the multiplication table provided. Since the multiplication table is not explicitly given in the question, we will assume the following values based on the video transcript: | * | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---| | 1 | 1 | 1 | 1 | 1 | 1 | | 2 | 1 | 1 | 1 | 1 | 1 | | 3 | 1 | 1 | 1 | 1 | 1 | | 4 | 1 | 1 | 1 | 1 | 1 | ...
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