To answer this question, we need to count the number of times the digit 6 appears when counting from 11 to 100.
Let's go through each option to determine the correct answer:
Option A) 9 - This option is incorrect because the digit 6 appears more than 9 times when counting from 11 to 100.
Option B) 10 - This option is incorrect because the digit 6 appears more than 10 times when counting from 11 to 100.
Option C) 19 - This option is correct. Let's count the number of times the digit 6 appears when counting from 11 to 100:
16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 76, 86, 96
The digit 6 appears 19 times in this range.
Option D) 20 - This option is incorrect because the digit 6 appears less than 20 times when counting from 11 to 100.
Therefore, the correct answer is option C) 19.