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Israel 2013 Q4 - Multiples of 7 made of digits 0,1,9

Source: Israel National Olympiad 2013 Q4

August 8, 2019
number theoryDigits

Problem Statement

Determine the number of positive integers nn satisfying:
[*] n<106n<10^6 [*] nn is divisible by 7 [*] nn does not contain any of the digits 2,3,4,5,6,7,8.