Let f : {1, 2, 3} → {a, b, c} be one-one and onto function given by f(1) = a,   f(2) = b and f(3) = c. Show that there exists a function g : {a, b, c} → {1, 2, 3}
such that gof = IX and fog = IY ,  where, X = {1, 2, 3} and Y = {a, b, c}.

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