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Regluar license plates in Ohio have 3 letters followed by 3 digits. .pdf

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Ohio license plates have 3 letters followed by 3 digits. There are 26 possible letters and 10 possible digits for each spot. Allowing repeats, there are 26^3 * 10^3 = 17,576,000 possible license plate combinations. Without repeats, there are 26*25*24 * 10*9*8 = 11,232,000 possible plates. Since repeats are usually allowed for license plates, the total number of possible plates is 17,576,000.

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Regluar license plates in Ohio have 3 letters followed by 3 digits. How many possible plates are there? Solution Assuming repeats are allowed, we have : 26 available letters, 10 available digits: 26 letters for first spot, 26 for second, 26 for third 10 digits for 4th spot, 10 digits for 5th spot, 10 digits for 6th spot. In total: (26*26*26*10*10*10) = (26^3)(10^3) = 17,576,000 If repeats are not allowed: (26*25*24)(10*9*8) = 11,232,000 The answer should be the first one as repeats are usually allowed for license plates.

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