Question

In a certain country, license plates have three letters followed by two digits. If the first digit cannot be zero, how many different license plates are possible if: repetition of letters are NOT allowed?

Answer 1

Possible 3 digits combinations: $D=9*10*10=900.$

Possible 2 letters combinations: $L=26*25=650.$

Number of different license plates: $N=L*D=650*900=585000.$