Moonlite ...for sure we had different math teachers in school but I dozed off a lot. So seven wires gives you 7 color choices for the first pin, then you have 6 wires left as possible choices for the second pin, 5 for the third pin and so on until you run out of wires and pins. I think (not sure) that gives a guy 7x6x5x4x3x2x1 = 5040 different possibilities or combinations ..... I think I remember something called permutations and combinations. This link below gives an explanation of seven different letters, he does get off track a bit but eventually comes out to 5040. I wouldn't want the task of proving it, probably eat up a weekend or two.
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