Discussion
When writing numbers from 1 to 10,000, how many times is the digit 9 written ?
Answer: C
Treat every number from 0000 to 9999 as a four-digit string with leading zeros. That is 10,000 strings and 40,000 digit positions, each digit equally likely:
\[ \frac{40{,}000}{10} = 4000 \]
The padding adds only zeros, so the count of 9s is unaffected, and 10,000 itself contains no 9. So the digit 9 is written 4000 times.
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