All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers > Sequences
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    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
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
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information