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4 digits from 1-9

Source: IV May Olympiad (Olimpiada de Mayo) 1998 L2 P1

September 17, 2022
number theoryDigits

Problem Statement

Inés chose four different digits from the set {1,2,3,4,5,6,7,8,9}\{1,2,3,4,5,6,7,8,9\}. He formed with them all possible four-digit numbers and added all those four-digit numbers. The result is 193314193314. Find the four digits Inés chose.
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