MathDB
listing 3-digit numbers with 6 from 9 digits

Source: 2022 May Olympiad L1 p2

September 5, 2022
number theory

Problem Statement

Bob chose six of the nine digits from 11 to 99 and wrote the list, ordered from smallest to largest, of all three-digit numbers that can be formed using the digits you chose. At Bob's list, the number 317317 appears at position 2222. What number appears at position 6060 in the list from Bob? Find all possibilities.