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When testing for current in a cable with sixsix ​color-coded wires, the author used a meter to test threethree wires at a time. How many different tests are required for every possible pairing of threethree ​wires?

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Answer:

20 tests

Step-by-step explanation:

There are six different wires, and for each test the author picks three, this means that each test is a combination of three out of six wires (₆C₃) . The number of total combinations possible is given by:

[tex]_6C_3=\frac{6!}{(6-3)!3!}\\_6C_3=\frac{6*5*4}{3*2*1}\\_6C_3=20[/tex]

20 tests are required to verify every possible pairing of three wires.

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