+- Southperry.net (https://www.southperry.net)
+-- Forum: Social (https://www.southperry.net/forumdisplay.php?fid=14)
+--- Forum: Rubik's Cube (https://www.southperry.net/forumdisplay.php?fid=58)
+--- Thread: Factorial Numbers (/showthread.php?tid=8813)
Factorial Numbers - Dragon - 2009-03-02
Basically:
1 Symbol and 1 Slot = 1 Result (1)
2 Symbols and 2 Slots = 2 Results (2x1)
3 Symbols and 3 Slots = 6 Results (3x2x1)
4 Symbols and 4 Slots = 24 Results (4x3x2x1)
5 Symbols and 5 Slots = 120 Results (5x4x3x2x1)
That's if the characters/symbols can't be repeated. But if they CAN be repeated:
1 Symbol and 1 Slot = 1 Result (1)
2 Symbols and 2 Slots = 4 Results(2x2)
3 Symbols and 3 Slots = 27 Results(3x3x3)
4 Symbols and 4 Slots = 256 Results (4x4x4x4)
5 Symbols and 5 Slots = 3125 Results (5x5x5x5x5)
Right?
Factorial Numbers - Russt - 2009-03-02
Uh...
Not sure exactly what you're referring to, but yes, that looks right.
Edit: Aww, social section. Postwhoring failed
Factorial Numbers - JoeTang - 2009-03-02
It's called Permutations and Combinations. nPr/nCr.
Factorial Numbers - Stereo - 2009-03-02
JoeTang Wrote:It's called Permutations and Combinations. nPr/nCr.
No it isn't, neither of those allow repeats.
First one would be 5P5 though.
Factorial Numbers - JoeTang - 2009-03-02
Stereo Wrote:No it isn't, neither of those allow repeats.
First one would be 5P5 though.
Wait, what the hell am I thinking of then? *headscratches* =(
Factorial Numbers - Nikkey - 2009-03-02
First is permutations with removal of elements. The second isn't. So yeah, this looks right.
(x! and x^x)