# Fundamental Counting principle problem

• Oct 4th 2011, 12:25 PM
terminator
Fundamental Counting principle problem
In Europe, license plates are made up of 3 letters followed by 3 digits.

What is the probability that you will receive a license plate with at least one letter repeated?

I found the total number of outcomes 26x26x26x10x10x10 = 17 576 000

26x1x26x10x10x10?

No clue.
• Oct 4th 2011, 12:35 PM
Plato
Re: Fundamental Counting principle problem
Quote:

Originally Posted by terminator
In Europe, license plates are made up of 3 letters followed by 3 digits. What is the probability that you will receive a license plate with at least one letter repeated?

Recall that at least one is the opposite on none.
How many plates have no repeated letters?
• Oct 4th 2011, 01:20 PM
CaptainBlack
Re: Fundamental Counting principle problem
Quote:

Originally Posted by terminator
In Europe, license plates are made up of 3 letters followed by 3 digits.

What is the probability that you will receive a license plate with at least one letter repeated?

I found the total number of outcomes 26x26x26x10x10x10 = 17 576 000

26x1x26x10x10x10?

No clue.