How many different standard plates are possible in this country?

Question

Standard automobile license plates in a country display 1 numbers, followed by 3 letters, followed by 3 numbers. How many different standard plates are possible in this country? (Assume repetitions of letters and numbers are allowed.)

Answer 1

I like to think of this problem as figuring out how many choices I have for each "slot." Per the problem statement, it looks like there are 7 total slots.

For the first slot, there are 10 numbers to choose from (0-9).

For the second slot, there are 26 letters to choose from (A-Z).

You can repeat this procedure for the rest of the slots. To find the total, multiply all the numbers together.