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GATEBOOK-Combinatorics

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How many license plates with 3 decimal digits followed by 3 letters do not contain both the number 0 and the letter O?
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17047279 is correct.

The total number of license plates possible are $10^3 \times 26^3$.

There are $10^3 - 9^3$ strings which contain a zero and $26^3 - 25^3$ strings that contain a O.

So the strings that do not contain a 0 AND O is $10^3 \times 26^3 - (26^3 - 25^3 \times 10^3 - 9^3)$ which is 170472279.
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