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3. Recall that we saw a type of duality for composisitons. a) Consider the composition 3, 5, 1 for n = 9. Give its dual.

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3. Recall that we saw a type of duality for composisitons. a) Consider the composition 3, 5, 1 for n = 9. Give its dual. You should show some kind of steps for this, do not simply write down the final answer. b) Prove that for n > 1, the dual of a composition is never equal to the original. c) What happens for n = 1? Is the dual always not equal to the original

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