Arithmetic sequence
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Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence
.
- For the 3 numbers, there are 10 outcomes, hence
Then:
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866