The book has 120 pages. How many digits have been printed for page numbering, starting with the third page?

7 single digits (9−3 + 1 = 7)
+ 90 two-digit (99-10 + 1 = 90; there are twice as many digits, i.e. 180)
+ 21 three-digit (120-100 + 1 = 21; three times as many = 63)
7 + 90 * 2 + 21 * 3 = 250 digits



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