Question

There are eight 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.

Answer 1

Answer: 40320 sequence to test.

Explanation:

we have given the following data:

No of wires which need to be attached to a circuit board = 8

What We need to find is the number of possible sequences of assembly that must be tested.

Using our multiplication rule of counting we arrive at,

Number of possible sequences of assembly is given by

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 40320

i.e. there are 8 choices for the first wire, 7 choices for the second wire, 6 choices for the third wire, 5 choice for the fourth wire same till the 8th wire.

Hence, there are 40320 possible sequences of assembly.