Standard automobile license plates in a country display 2 nu

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

Solution

First two chracters are numbers . Each can have 10 possibilities so 10^2=100 characters

Next two letters can be varied in 26*26 ways

last three numbers in 10^3=1000 ways

So,

100*26^2*1000=67,600,000