Meghan needs to create a 4-digit password. The digits cannot repeat in the password and cannot start with the digit 0. What is the probability , to the nearest hundredth of a percent, the the password starts with a 9 and ends with a 6?

the correct answer is the second option

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb