Standard automobile license plates in a country display 2 digits, followed by 2 letters, followed by 3 digits. How many different standard plates are possible in this system? (Assume repetition of letters and digits is allowed.)

There are 1,892,800,000 different standard plates that are possible in this system

Step-by-step explanation:

The plates follow the following format:

D - D - L - L - L - D - D - D

For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.

So, there are

10*10*26*26*28*10*10*10 = 1,892,800,000

different standard plates that are possible in this system