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Recall: n! 1.2.3.(n -1) n (a) Prove n! S n. (b) Prove n! 2 (n/2)n/2, (c) Prove log(n!) = (n log n) using parts (a)

Recall: n! 1.2.3.(n -1) n (a) Prove n! S n". (b) Prove n! 2 (n/2)n/2, (c) Prove log(n!) = (n log n) using parts (a) and (b)

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