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

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