Seven wires (all with different colors) 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.

The number of permutations of seven things, which is the number of different orders seven different wires can be connected, is 7!.

That's 7×6×5×4×3×2×1=5040

That's because there's 7 choices for the first wire, then 6 left for the second wire, 5 choices for the third, etc.  The multiplication rule of counting says we multiply all these for the final count.

5040

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

answer: he is 272195

step-by-step explanation: all you have to do is multiple 3535 and 77 and it equals 272195