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4-digit numbers that contains exactly 3 different digits

Source: 2021 Dürer Math Competition Finals Day2 E4 https://artofproblemsolving.com/community/c2749870_

January 8, 2022
Digitsnumber theory

Problem Statement

What is the number of 44-digit numbers that contains exactly 33 different digits that have consecutive value? Such numbers are for instance 54645464 or 20012001.
Two digits in base 1010 are consecutive if their difference is 11.
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