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.

Please help

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?

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.

Please help

Except the premise is not true and often the letters that do occur are not random or independent

CB