Question

Number plate of cars is to be made having 2 letters of alphabet followed by three-digit number but not beginning with zero. How many different number plates can be made when repetition is allowed

Answer 1

The number of ways of arranging 2 alphabets with repetition $=26\ast 26$

The number of ways of arranging 3 numbers with first digit excluding to be 0

$=9\ast 10\ast 10$

Hence, total Number of ways $=26\ast 26\ast 9\ast 10\ast 10=608400$