Respuesta :
There would be 63,273,600 and 43,524,000 license plates, if repetition is allowed, and not, respectively that can be made using either three uppercase English letters followed by three digits or four uppercase English letters followed by two digits.
Based on the given information, a license plate may either be:
1. three uppercase English letters followed by three digits
26 ways to fill in the first, second, and third letter and
10 ways to fill in the first, second, and third digit
2. four uppercase English letters followed by two digits
26 ways to fill in the first, second, third, and fourth letter and
10 ways to fill in the first and second digit
Thus, by Fundamental Principle of Counting, there are 63,273,600 possible license plates, if repetition is allowed, and 43,524,000 possible license plates, if repetition is not allowed.
(with repetition)
1. 26 x 26 x 26 x 10 x 10 x 10 = 17,576,000
2. 26 x 26 x 26 x 26 x 10 x 10 = 45,697,600
17,576,000 + 45,697,600 = 63,273,600
(without repetition)
1. 26 x 25 x 24 x 10 x 9 x 8 = 11,232,000
2. 26 x 25 x 24 x 23 x 10 x 9 = 32,292,000
11,232,000 + 32,292,000 = 43,524,000
Learn more about counting principle here: brainly.com/question/16050707
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