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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
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 thatfalls outside this generating pattern.
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
Yes ! all this bymber theory stuff has interesting interconnections if only the human mind was capable of understanding it!