INMO - 2003

Discrete Mathematics Level pending

In a lottery, tickets are given nine-digit numbers using only the digits \(1,2,3\). They are also colored red, blue or green in such a way that two tickets whose numbers differ in all the nine places get different colors.

Suppose the ticket bearing the number \(222222222\) is green & that bearing the number \(122222222\) is red, then determine the color of the ticket bearing the number \(123123123\).

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