a state had three letters followed by three digits as the format for license plates. in order to increase the number of plates available, the state changed the format to four letters followed by two digits. what is the positive difference between the number of plates available with the new format and the number of plates available with the old format?



Answer :

The positive difference is 10,000. The old format had 26^3 = 17,576 possible combinations, while the new format has 26^4 = 456,976 possible combinations. The difference is 456,976 - 17,576 = 439,400, or 10,000 times the original amount.

The old format for license plates used three letters followed by three digits, which provided 26^3 = 17,576 possible combinations. The state changed the format to four letters followed by two digits, offering 26^4 = 456,976 possible combinations. This gives us a positive difference of 10,000 times the original amount, or 456,976 - 17,576 = 439,400. This increase in the number of combinations greatly increases the number of license plates available in the state.

The old license plate format of three letters followed by three digits provided an initial total of 17,576 combinations. This limits the amount of license plates available, as well as the individuality of the plates. In order to increase the number of plates and provide more individuality, the state changed the format to four letters followed by two digits. This new format increases the total number of combinations to 456,976, which is a positive difference of 439,400, or 10,000 times the original amount. This allows for more license plates to be available, as well as more individuality, as there are now 456,976 unique combinations to choose from.

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