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IMSO 2014 — Math Division — Short Answer Question 23

IMSO Maths · IMSO 2014 — Math Division — Short Answer

Question 23

Andy writes a positive integer using each of the digits $1,2,3,4,5,6,7,8,9$ exactly once. Any sequence of two adjacent digits in it forms an integer which is divisible by either $7$ or $13$. Write down all the possible sequences of number formed by Andy satisfying the conditions.