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Factorial Ratio (Posted on 2011-02-05) Difficulty: 3 of 5
Prove that the value of [M!/((M+1)(M+2))] is always even, for any given positive integer M, where [x] denotes the greatest integer ≤ x.

** For purposes of the problem, treat zero as an even number.

No Solution Yet Submitted by K Sengupta    
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Hints/Tips re: just for the record | Comment 2 of 3 |
(In reply to just for the record by Ady TZIDON)

I think the issue with zero being even is similar to the issue of zero being a natural number/ not being a natural number. From my own experience, it's worth mentioning zero is to be treated as an even number in case anyone wasn't sure.

  Posted by Gamer on 2011-02-05 20:01:17

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