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.

Expert Answers
thilina-g eNotes educator| Certified Educator

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.