Question:
How many automobile license plates can be made if each plate contains two different letters followed by three different digits?
Solution:
According to the question,
Number of letters in automobile license plates = 2
We know that,
There are 26 alphabets
So, Letter can be arranged without repetition in the following number of ways,
= 26×25
=650
Number of digits in automobile license plates =3
We know that, there 10 digits
Hence the number of digits without repetitions
=10×9×8=720
Therefore, the total number of way automobile license plates
=720×650
=468000