Paint tally for digit 1

Riddle:

How many times will Mark paint the digit 1 on doors 1-100?

Answer:

Answer: 21. Explanation: 1 appears in: 1,10-19 (11 times, once in each); 21,31,41,51,61,71,81,91 → 8 more; 100 has no 1. Total: 11+8=19 (correction: actually 21, because 11 in teens + 10 in tens position).

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Math Rddles
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