# Lucky license plate numbers

**Discrete Mathematics**Level 3

Ben has just moved to Kuala Lumpur ( the capital of Malaysia ) and he wants to buy a new car.Of course,he needs a license plate for his car otherwise he can't use it :) The license plate numbers in Kuala Lumpur are of the form \( W (number) (letter) \) where \( (number) \) represents any number from 1 to 9999 and \( (letter) \) represents any letter from A to Z ( example : W 8888 A ).Ben wants a license plate number that is the same whether it is read from **left to right** or **right to left** because he thinks that is lucky.
The chance that he gets a number with the above properties can be represented as \( \frac{a}{b} \).Find \( b - a \).

- The letters must also be the same whether read from left to right or right to left.( example : W 3333 W satisfies the conditions but W 3333 T does not )
- The selection of license plate numbers is random.