Mathematics Quiz (One question every week)


Question 70: (December 20th, 2014) Algebra question



If we take numbers from 1 through 10, there are two 1s, one of each of 2-9 and one 0.
Similarly if we take numbers from 1 through 100, we will have twenty one 1s, Twenty of each of 2-9 digits and Eleven 0s.
Now the question is if we take numbers from 1 through a number formed by 1 followed by 'n' zeros,
how many times each digit will be used?




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