SOLUTION: A car license plate contains three letters followed by four digits. How many different plates can be made if no two consecutive letters can be the same, if the letters I, O and Q c

Question 1147188: A car license plate contains three letters followed by four digits. How many different plates can be made if no two consecutive letters can be the same, if the letters I, O and Q cannot be used, and if the number 0 cannot be used?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A car license plate contains three letters followed by four digits. How many different plates can be made if no two consecutive letters can be the same, if the letters I, O and Q cannot be used, and if the number 0 cannot be used?
=========
Assuming only CAPS are used:
23 letters are used, and 9 numbers.
------------
The 1st letter is 1 of 23
The 2nd is 1 of 22
The 3rd is 1 of 22
---
The 1st number is 1 of 9
Same for numbers 2, 3 & 4
---> 23*22*22*9*9*9*9

RELATED QUESTIONS
A car license plate contains four letters followed by three digits. How many different... (answered by Boreal)

A car license plate contains four letters followed by three digits. How many different... (answered by Edwin McCravy)

A car license plate contains three letters followed by four digits. How many different... (answered by Alan3354)

A car license plate contains three letters followed by four digits. How many different... (answered by ikleyn)

A car license plate contains six letters followed by three digits. How many different... (answered by Edwin McCravy)

A license plate contains three distinct letters followed by 3 digits. How many different... (answered by Alan3354)

Suppose a license plate contains two letters followed by three digits with the first... (answered by Edwin McCravy)

A car license plate contains five letters followed by two digits. How many different... (answered by greenestamps)

A car license plate contains five letters, followed by two digits. How many different... (answered by greenestamps)