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More than one way to skin a cat (Posted on 2010-03-24) Difficulty: 2 of 5
You start with a zero and try to reach exactly 100 in 4 stages, each stage consisting of either increasing or decreasing your current number by a factorial n!( number like 1,2,6,24,120,720 etc) .
How many sequences exist to accomplish this task?

See The Solution Submitted by Ady TZIDON    
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re: Gamma a break! (spoiler) Comment 6 of 6 |
(In reply to Gamma a break! (spoiler) by Dej Mar)

As can be seen on Wolfram's Mathworld, the Gamma function is continuous and can provide any value other than zero (you might need to use a negative argument to get really close to zero).

A particular case is Gamma(5.0270504634512...) = 25 so that all four n's could be the same number. In fact, as you can see from the graph of the Gamma function, there are infinitely many arguments that would produce a value of 25, but only two of these arguments are positive--the other being 0.039154537388342....


  Posted by Charlie on 2010-03-24 15:46:52
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