# Number Plate Puzzle

**Discrete Mathematics**Level 5

Now for every number plate \(abcd\), we consider the difference \(S = \lvert ab - cd\rvert\) and average this answer over a large number of vehicles. What is the integer part of the average that is obtained?

**Note:** For example, for a number plate \(1234\), we have \(S = |12-34|=|-22|=22\)).