.
Standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 3 numbers.
Assume that this country's alphabet has 27 letters. How many different standard plates are possible in this system
if the last number must be an even number?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In the text of the post, replace everywhere
the word " numbers " by the word " digits ".
10 10 27 27 27 10 10 5 even
digits digits letters letters letters digits digits digits
10 * 10 * 27 * 27 * 27 * 10 * 10 * 5 = = 984150000. ANSWER
Solved.