Answer:
The number of permutations of seven things, which is the number of different orders seven different wires can be connected, is 7!.
That's 7×6×5×4×3×2×1=5040
That's because there's 7 choices for the first wire, then 6 left for the second wire, 5 choices for the third, etc. The multiplication rule of counting says we multiply all these for the final count.
Answer: 5040
