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IMAS 2018 — Upper Primary Grades 5–6 — Round 2 Question 15

IMAS · IMAS 2018 — Upper Primary Grades 5–6 — Round 2

Question 15

A robot can generate a set of digit codes according to user’s reasonable instructions. Wayne gives out the following commands: (1) Each code is a three-digit number (nonzero for the left-most digit). (2) Every two codes in the set have identical digits at no more than one corresponding positions. Find the maximum number of codes in a set the robot can generate.