## Task 3 - 050713

The driver of a car registered in the GDR fled the scene after a traffic accident. After questioning several witnesses, the following information was obtained about the police registration number of the car:

a) The two letters of the license plate were AB or AD.

b) The two front digits were the same and different from the last two digits.

c) The number formed by the last two digits was 69 or 96.

What is the maximum possible number of cars that can meet these conditions?
For the two front digits, there are 8 possibilities under the conditions of the problem (all except 6 and 9). Each of these 8 digit pairs can be coupled with one of the 4 combinations AB 69, AB 96, AD 69, AD 96. Therefore, the maximum number of vehicles that meet the conditions of the problem is $4 \cdot 8=32$.