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dansmath - problem-of-the-week

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a) How many ways can 5! be written as a sum of (two or more) consecutive positive integers? (s.c.p.i.) b) Describe a procedure to count the number of ways that any given natural number, m, can be expressed as the s.c.p.i. c) Exactly how many ways can 74 factorial (74!) be written as the sum of consecutive positive integers (s.c.p.i.)?
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