Question

Standard automobile license plates in a country display one number, followed by three letters, followed by three numbers. How many different standard plates are possible in the system ? ( assume repetition of letters and numbers are allowed)

Answer 1

175760000

Explanation:

There are 10 possibilities for each number and 26 possibilities for each letter.

Using the multiplication principle, the answer is
`(10)(26^3)(10^3)=175760000`