MathDB

The license plate of each automobile in Iran consists of a two-digit and a three-digit number as well as a letter of the Persian alphabet. The digit

0

is not used in the two numbers. To each license plate, we assign the product of the two numbers on it. For example, if the two numbers are

12

and

365

on a license plate, the assigned number would be

12 \times 365 = 4380

. What is the average of all the assigned numbers to all possible license plates?

8