Some states are running out of license plate numbers. delaware currently uses six-digit numbers in its license plate numbering system. the state of washington recently stated that it needs to explore options to replace their current system of three numerical digits followed by three letters. new jersey currently uses a system of one letter, two numerical digits, then three letters. how many license plate numbers can the state of washington assign under their system? expand your answer to the solution.

a. 10 x 10 x 10 x 26 x 26 x 26 plate numbers

b. 26 x 10 x 10 x 9 x 25 plate numbers

c. 9 x 9 x 10 x 26 x 26 x 25 plate numbers

d. 10 x 10 x 26 x 25 x 25 x 26 plate numbers

a. 10 x 10 x 10 x 26 x 26 x 26 plate numbers

Step-by-step explanation:

The state of Washington uses a system of three numerical digits followed by three letters.  Given that there would be 10 numbers available for each digit spot: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 and 26 letters for each of the three letter spots, the overall number of plates would be:

10 x 10 x 10 x 26 x 26 x 26 plate numbers

i need points

step-by-step explanation:

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: