A country has license plates for cars that have 3 letters followed by 3 digits, or 3 digits followed by 3 letters. A second country has license plates with 4 letters followed by 3 digits. Assuming that zero can be the first digit in a 3 digit license number, how many more license plates can be made using the 4 letter, 3 letter format that can be made with the 3 and 3 format.

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asked by Ishan Jaggi

4 years ago

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1 answer

1st country: (26^3 * 10^3)*2
2nd country: 26^4 * 10^3
now just subtract

answered by oobleck

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Question

A country has license plates for cars that have 3 letters followed by 3 digits, or 3 digits followed by 3 letters. A second country has license plates with 4 letters followed by 3 digits. Assuming that zero can be the first digit in a 3 digit license number, how many more license plates can be made using the 4 letter, 3 letter format that can be made with the 3 and 3 format.
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oobleck · Answer

1st country: (26^3 * 10^3)*2 2nd country: 26^4 * 10^3 now just subtract