The California license plate has one number followed by three letters followed by three numbers. How many different license plates are possible?

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There are a total of 175,760,000 different license plates

How many different license plates are possible?

We know that the license plates are of one number followed by 3 letters followed by 3 numbers.

We need to count the number of options for each of these elements:

  • 1st number:  it has 10 options.
  • 1st letter: it has 26 options.
  • 2dt letter: it has 26 options.
  • 3rd letter: it has 26 options.
  • 2nd number: it has 10 options.
  • 3rd number: it has 10 options.
  • 4th number: it has 10 options.

The total number of combinations is given by taking the product between these numbers of options, we will get:

C = 10*26*26*26*10*10*10 = 175,760,000

There are a total of 175,760,000 different license plates

If you want to learn more about combinations:

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