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A license plate is to have the following form: three letters followed by three numbers. An example of a license plate like this would be MTH 314. How many different license plates can be made, assuming that letters and numbers can be reused?

Answer :

Answer:

The answer is "351,520,000"

Step-by-step explanation:

This is about permutations and combinations;

17,576,000 license plates

  • There are 26 letters in general vocabulary. Since each letter can be reused, each letter will have a possibility of any of the 26 letters to be used.

Thus, the permutation for possible letters = 26 × 26 × 26 = 17576 ways

  • Similarly, for the digits, available digits are from 0 to 9.l which are ten in total.

Since they can be repeated, then permutation for possible digits = 10 × 10 × 10 = 1000 ways

  • Since the three letters must come before the 3 numbers, then different license plates that can be made = 17576 × 1000 = 17576000 license plates

Read more at; brainly.com/question/22692807

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