Factorial Numbers

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?

Uh...

Not sure exactly what you're referring to, but yes, that looks right.

Edit: Aww, social section. Postwhoring failed

It's called Permutations and Combinations. nPr/nCr.

It's called Permutations and Combinations. nPr/nCr.

No it isn't, neither of those allow repeats.

First one would be 5P5 though.

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* =(

First is permutations with removal of elements. The second isn't. So yeah, this looks right.

(x! and x^x)