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- Nov 2nd 2012, 12:34 AMagentmulderStrange factorials
- Nov 2nd 2012, 03:18 AMPatDevlinRe: Strange factorials
that's cool never thought of before. there are an infinite number of similar examples and they are easy to construct. works like this consider an integer n. now call n! = k. now find k!. we know (k- 1)! = k!/k = k!/n!

that's it really or more generally (n!-1)! = (n!)!/n!

try it out it works

nice one

pat - Nov 2nd 2012, 08:07 AMagentmulderRe: Strange factorials
I like your solution, thank you for the reply, let me put it in my own words. 'We can always generate this kind of relationship if we take the factorial of a factorial.' Interesting that falls outside this generating pattern.

- Nov 2nd 2012, 09:33 AMPatDevlinRe: Strange factorials
An example might be good...

1.2.3.4 = 24.

so if i include 1.2.3.4 in one series and exclude 24. Then in the other i include 24 but exclude 1.2.3.4

ie 5.6.7.8.9....23.**24**=**1.2.3.4.5**.6....22.23

That makes sense.

because

In your is slightly different**6**.5.**4**= 5.**4.3.2.1**because 4.6 = 1.2.3.4

we try 1.2.3.4.5 = 120 = 5.24

so**1.2.3.4.5.**6.7.....23 =**5**.6.7.8.9....23.**24**

i suppose there must be loads of ways to do this.

All very interesting though, I never really thought about that before.

Pat - Nov 2nd 2012, 10:47 AMagentmulderRe: Strange factorials
- Nov 2nd 2012, 11:37 AMPatDevlinRe: Strange factorials
Yes ! all this bymber theory stuff has interesting interconnections if only the human mind was capable of understanding it!