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A operation * on a set A is said to be b...

A operation * on a set A is said to be binary, if x * `y in A`, for all `x, y in A`, and it is said to be commutative,if x * y = y * x for all `x, y in A`. Now if `A = {a_1, a_2, ......,a_n}`, then find the following -

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