how many different tests are required for every possible pairing of two wires?when testing for current in a cable with five color coded wires, the author used a meter to test two wires at a time.

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thilina-g | College Teacher | (Level 1) Educator

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The number of different wires present = 5

The number of wires tested at a time = 2


There for number of possible ways given by `^5C_2`

Number of possible pairings `= ^5C_2`

                                        `= (5!)/(2!3!)`

                                       ` = 10`


There are 10 possible pairings.