INMO 2003 Problem 6
- Answer
In a lottery, tickets are given nine-digit numbers using only the digits . They are also coloured red, blue or green in such a way that two tickets whose numbers differ in all the nine places get different colours. Suppose the ticket bearing the number 122222222 is red and that bearing the number 222222222 is green. Determine, with proof, the colour of the ticket bearing the number 123123123 .
Dataset text NuminaMath olympiads. Quoted with source.
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red
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