Question

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. 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 Delaware assign under their system? Write the answer in exponential form.

a. 10^4 plate numbers

b. 10^3 plate numbers

c. 10^6 plate numbers

d. 10^5 plate numbers

Answer 1

c.
`10^(6)`

Explanation:

Given that Delaware has license plates with a six-digit numbering system, each digit would have a chance of 10 different digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Since each digit has a chance of 10, multiply 10 six times: 10 x 10 x 10 x 10 x 10 x 10 =
`10^(6)`

Answer 2

Option: c is the correct answer.

c. 10^6 plate numbers

Explanation:

Delaware currently uses six-digit numbers in its license plate numbering system.

This means that he uses the 10 numerical digits to get a number in a number plate.

Also it isn't mentioned that the digits have to be unique.

This means that the number of licence plate that can be made are:

`10^6`

( Since any of the 10 digits could come at first place, any of the 10 digits could come in the second place and so on for third, fourth, fifth and sixth place.

which is given by 10×10×10×10×10×10=10^6 )

Hence, the number of license plate numbers Delaware can assign under their system is:

c. 10^6 plate numbers