Thread: 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

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.

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!