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When testing for current in a cable with seven ​color-coded wires, the author used a meter...

When testing for current in a cable with seven ​color-coded wires, the author used a meter to test two wires at a time. How many different tests are required for every possible pairing of two ​wires? The number of tests required is nothing.

math   Statistics-And-Probability   
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Answer #1

There are seven wires and order of wires in the pair is not important so possible number of pairs of seven wires is

7! = 21 C(7,2) = 21(7-2)!

So the number of tests required is 21.

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