Some fleet car license plates contain 4 numbers followed by 3 letters and then another 3 numbers. If this were the standard fleet car license plate and there are no other constraints, the number of plates that could be manufactured is

Answer 1

Using standard alphabet,

number of possibilities for the 4 numbers
= 10^4
number of possibilities for the letters
= 26^3

Three more numbers = 10^3

Number of possible plates
= (10^4)(26^3)(10^3)
= 175,760,000,000

note: this includes plates such as
0000ZZZ000