A state uses a combination of three letters (A-Z) followed by three digits (0-9) for their license plates. So, there are 17576000 license plates can be made.
Given that, license plates consists of 3 letters followed by 3 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 3 digits will be LLLNNN.
Letters can be anything from A to Z.
There are 26 letter combinations for the first letter. That is applicable for the following 2 letters.
So, the 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 = 10×10×10 = 1000
Now, the combination for letters and numbers= 17576×1000
= 17576000
Therefore, 17576000 license plates can be made.
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