Suppose that in a certain state all automobile license plate

Suppose that in a certain state, all automobile license plates have four letters followed by three digits. How many license plates could begin with A and end in 0?

Solution

The first Letter is fixed at A, the second letter has 26 options (A to Z) , third letter has 26 options(A to Z), first digit has 10 options (0-9), 2nd digit has 10 options, 3rd digit has 10 options and 4th digit is fixed at 0.

Number of licence plates begin with A and end with 0 is 1x26x26x10x10x10x1

Answer is 676000