Question

How many automobile license plates can be made if each plate contains two different letters followed by three different digits?

Answer 1

Given:-

Number of letters in automobile license plates =2

We know that there are 26 alphabets

so, without repetition letter can be arranged

= 26×25

=650

Number of digitsin automobile license plates =3

We know that there 10 digits

Hence the no of digits with no repetitions

=10×9×8=720

Total number of way automobile license plates

=720×650

=468000