Determining the line number of a combination from a sorted text file

Question

Uppercase letters $(A - Z)$ and numbers $(0 - 9)$ are used to generate all possible combinations of strings of length $10$ characters such as $NAH562GTDS$. Assuming that all the possible combinations are generated and sorted in a text file such that the very first string is $0000000000$ and the last one $ZZZZZZZZZZ$, how can we determine the line number in which a string appears?

Answer 1

Hint. Think to the given string as number written in base $10+26$.

P.S. In this base what is the numerical value of the digits $Y$, $E$ and $S$? Then what is the position of the string $0000000YES$? Show your effort and edit your question with your attempt.