Some states are running out of license plate numbers. Delaware currently

uses six-digit numbers in its license plate numbering system, although recent reports

show that its numbers are approaching 1 million. The state of Georgia uses a system of three letters followed by four numerical digits. New Jersey changed its system of three letters followed by two

numerical digits and one letter to a new system of one letter, two numerical digits, and

three letters.

a. Could Georgia run out of license plate numbers if we have 5,757,953 licensed drivers?

b. How could you determine how many plate numbers New Jersey was able to assign under the previous system?

c. How many additional license plate numbers can New Jersey assign under the new system?

Question

Theodore Valentine

Mathematics

28 November, 03:23

Some states are running out of license plate numbers. Delaware currently

uses six-digit numbers in its license plate numbering system, although recent reports

show that its numbers are approaching 1 million. The state of Georgia uses a system of three letters followed by four numerical digits. New Jersey changed its system of three letters followed by two

numerical digits and one letter to a new system of one letter, two numerical digits, and

three letters.

a. Could Georgia run out of license plate numbers if we have 5,757,953 licensed drivers?

b. How could you determine how many plate numbers New Jersey was able to assign under the previous system?

c. How many additional license plate numbers can New Jersey assign under the new system?

+3

Answers (1)

Know the Answer?

Francisco Tapia · Answer 1

A. Could Georgia run out of license plate numbers if we have 5,757,953 licensed drivers? let as solve the possible combination of three letters followed by four numerical digitsP = 26 x 26 x 26 x 10 x 10 x 10 x 10P = 175,760,000 so it will not run out yet

b. How could you determine how many plate numbers New Jersey was able to assign under the previous system? P = 26 x 26 x 26 x 10 x 10P = 1,757,600

c. How many additional license plate numbers can New Jersey assign under the new system? P = 26 x 10 x 10 x 26 x 26 x 26P = 45,697,600