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

Solution:

As per the question,

2 = No. of letters in automobile license plates

It is known that,

There are a total of 26 alphabets

Therefore, in the following number of ways, letter can be arranged without repetition,

3 = No. of digits in automobile license plates

It is known that, there are 10 digits

   

Therefore without repetitions the number of digits

As a result, the total no. of way automobile license plates