# ALGEBRA

posted by .

Many states offer personalized license plates. California, for example, allows personalized plates with seven spaces for numerals or letters, or one of the following four symbols. What is the total number of license plates possible using this counting scheme? (Assume that each available space is occupied by a numeral, letter, symbol, or space. Give the answer in scientific notation. Round the first number to two decimal places.)
The answer I came up with is 163840000000 x10 ~1.64E11 is this correct if not please help.

• ALGEBRA -

I counted 40 possible symbols that can be used in each of the 7 places
number of such cases = 40^7 , assuming that repetition is allowed.
But it also includes the case of 7 spaces, which technically would be a blank plate. I don't think they would allow that
number of way = 40^7 - 1

Your answer is correct as 1.64 x 10^11
(subtracting my 1 has no effect on such a huge number)

## Similar Questions

1. ### pre calculus

A state makes auto license plates that have two letters (excluding I, 0, and Q) followed by four digits of which the first digit is not zero. How many different license plates are possible?
2. ### algebra

utah license plates have 3 numbers followed by 3 letters. how many different license plates of this kind can be made
3. ### ALGEBRA

Many states offer personalized license plates. California, for example, allows personalized plates with seven spaces for numerals or letters, or one of the following four symbols. What is the total number of license plates possible …
4. ### math

Many states offer personalized license plates. California, for example, allows personalized plates with seven spaces for numerals or letters, or one of the following four symbols. What is the total number of license plates possible …
5. ### Math

A state creates license plates that each contain two letters followed by three digits. The first letter must be a vowel ( A, E, I, O, U ) and duplicate letters and digits are allowed. How many different license plates are possible?
6. ### Algebra

A state's license plates consist of four letters followed by three numerals, and 241 letter arrangements are not allowed. How many plates can the state issue?
7. ### Computers

In Python - A state creates license plates, each containing two letters followed by three digits. The first letter must be a vowel (A,E,I,O,U), and duplicate letters and digits are allowed. The second letter can be any letter of the …
8. ### College probability and statistics

The current license plates in New York State consist of three letters followed by four digits. ( i ) How many possible distinct license plates can there be?
9. ### algebra/can you see if I am on the right track

A state's license plates consist of four letters followed by three numerals, and 246 letter arrangements are not allowed. How many plates can the state issue?
10. ### Satistic help Please

The population of California is approximately 38 million. If you were in charge of making license plates for California, describe the method you would use to ensure you would have enough license plates. Assume that you may use letters …

More Similar Questions