I believe your numbers are correct. Stated another way, there are 4 ways to choose the first wire, 3 ways to choose the second, 2 ways to choose the 3rd, and one way to choose the last. I think this is just called the permutations (combinations? I can never keep them straight)
You got it right, it's a permutation, ie. 4*3*2*1.
A combination would be 4*4*4*4, for instances where you can choose items and not 'use' them up. Say, in DNA, where you can use all the Gs and As you want.
I stunk at math in school but I loved probability, thus these are one of the few things that I remember.
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