Final answer:
To find how many times the digit 1 is used from numbers 1 to 99, we count its occurrence in both the ten's and unit's places. It appears once from 1 to 9, 20 times within 10 to 19, and then 8 additional times from 20 to 99 in the unit's place. The total use is 29 times, which is not listed in the options.
Step-by-step explanation:
The question is asking how many times the character 1 is used when writing out all the numbers from 1 to 99. To answer this, we need to count the number of times the digit 1 appears in each ten's place and in each unit's place.
From 1 to 9, the digit 1 appears only once. From 10 to 19, the digit 1 appears 10 times in the ten's place and another 10 times in the unit's place. That is a total of 20 times. For every other set of ten, from 20 to 29, 30 to 39, ..., 90 to 99, the digit 1 appears once in the unit's place. Since there are 8 such sets, we have 1 digit × 8 sets = 8 times. Therefore, the digit 1 appears in the unit's place 1 (initial 1 to 9) + 10 (ten's place in 10 to 19) + 8 (20 to 99) = 19 times in total.
Then, adding the 10 instances from the ten's place (10 to 19) to the 19 times it appears in the unit's place, we get a total of 19 + 10 = 29 times. Thus, the correct answer is not provided in the options, but it is 29 occurrences.