Question

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.)

Answer 1

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

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