There are six wires which need to be attached to a circuit board. A robotic device...

There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are six choices for the first wire, five for the second wire, four for the third wire, etc. Enter an exact number.)

Compute C_5,3. (Enter an exact number.)

Expert Solution

Number of possible sequences = 6 * 5 * 4 * 3 * 2 * 1 = 720

⁵C₃ = 5! / (3! * (5 - 3)!) = 10

orchestra answered 1 year ago

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