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

Hence, 10^6 license plate numbers can Delaware assign under their system.

Hence option: C is correct.

Explanation:

It is given that:

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

It is asked to find the How many license plate numbers can Delaware assign under their system.

Since Delaware has to fill 6 places in the number plate also there are 10 choices for each of the places.

i.e. in the first place any of the 9 digits can be placed.

at the second place any of the 10 digits can be used.

( since it is not given that repetition of the number is not allowed)

and so on.

So, the total number of ways this can be done is:

10×10×10×10×10×10=10^6.