A book has 250 pages how many digits have been used to to print the number of pages
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Assuming the page number is printed on every page of the book, and that the pages are numbered 1–132:
100–132 (33 pages) use 3 each = 99
10–99 (90 pages) use 2 each = 180
1–9 (9 pages) use 1 each = 9
So the total is 99 + 180 + 9 = 288 total digits printed.
Followup challenge: what’s the general formula for a book of n pages?
Followup challenge redux: what’s the frequency count/distribution of each digit?
Step-by-step explanation:
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