How many license plates can be made consisting of 3 letters followed by 2 digits?

Solution:

Given, license plates consist of 3 letters followed by 2 digits.

Let the numbers on license plates be N

Let the letters on license plates be L

So, the license plate consisting of 3 letters and 2 digits will be LLLNN.

Letters can be anything from A to Z.

There are 26 letter combinations for the first letter. Again second and third letters can be anything from the 26 letters.

So, combination for letters = 26 × 26 × 26

= 17576

Numbers can be anything from 0 to 9.

There are 10 combinations for each place.

So, the combination for numbers = 10 × 10 = 100

Now, the combination for letters and numbers = 17576 × 100 = 1757600.

Therefore, 1757600 license plates can be made.

Summary:

1757600 license plates can be made consisting of 3 letters followed by 2 digits.

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