Let A be any set and let SA be the set of all permutations of A. Let f, g, h [ SA. Prove
Chapter 5, Problem 55(choose chapter or problem)
Let A be any set and let \(S_{A}\) be the set of all permutations of A. Let \(f, g, h \in S_{A}\). Prove that the functions \(h \circ(g \circ f)\) and \((h \circ g) \circ f\) are equal, thereby showing that we can write \(h \circ g \circ f\) without parentheses to indicate grouping.
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