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What color is ticket $123123123

Source: India National Olympiad 2003, Problem 6

October 10, 2005
combinatorics proposedcombinatorics

Problem Statement

Each lottery ticket has a 9-digit numbers, which uses only the digits 11, 22, 33. Each ticket is colored red, blue or green. If two tickets have numbers which differ in all nine places, then the tickets have different colors. Ticket 122222222122222222 is red, and ticket 222222222222222222 is green. What color is ticket 123123123123123123 ?
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