Discussion
If you write down all the numbers from 1 to 100, then how many times do you write 7 ?
Answer: A
The digit 7 is written 20 times.
Count the units place and the tens place separately from 1 to 100:
Units digit 7: 7, 17, 27, ..., 97, which is 10 times.
Tens digit 7: 70, 71, ..., 79, which is 10 times.
That makes 20 in all. The number 77 contributes one 7 to each count, which is correct, since 7 is written twice in it. 19 forgets that, and 21 or 22 count 77 or 70 to 79 one time too many.
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