How many license plates can be produced using five symbols on each plate where the first two symbols are letters of the alphabet and the following three symbols

Question

How many license plates can be produced using five symbols on each plate where the first two symbols are letters of the alphabet and the following three symbols are numbers selected from the set ?{0,1,2,3,4,5,6,7,8,9}? No number or letter can be repeated on the same license plate.

Answer 1

26*25*10*9*8=468,000

26 letters of the alphabet with no repetitions and 10 digits with no repetitions