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no 2 of them have the property that one divides other, in 7-digit numbers

Source: Indian Postal Coaching 2007 set 6 p6

May 25, 2020
Digitsnumber theorydividesdivisible

Problem Statement

Consider all the 77-digit numbers formed by the digits 1,2,3,...,71,2 , 3,...,7 each digit being used exactly once in all the 7!7! numbers. Prove that no two of them have the property that one divides the other.
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