Maths Olympiad Prep

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Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Pierre writes all the numbers from 1 to 20 in a row and obtains the 31-digit number 12345678910111213141516171819201234567891011121314151617181920. He then deletes 24 of the 31 digits so that the remaining number is as large as possible. Which number does he get?

(A) 96718199671819 (B) 95678929567892 (C) 97819209781920 (D) 99123459912345 (E) 98181929818192

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