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Question: recall that a composition of an integer n is an...

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Recall that a composition of an integer n is an ordered sum of positive integers which equals n. Let ck(n) be the number of compositions into summands of size S k and c (n) be the number of compositions into at most k summands. For a fixed k 1, one of these parameters is (eventually) larger than the other. Find and prove the inequality by describing an injection or surjection

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