HMMT 2006 T11
- Team 1
- Answer
The lottery cards of a certain lottery contain all nine-digit numbers that can be formed with the digits 1,2 and 3 . There is exactly one number on each lottery card. There are only red, yellow and blue lottery cards. Two lottery numbers that differ from each other in all nine digits always appear on cards of different color. Someone draws a red card and a yellow card. The red card has the number 122222222 and the yellow card has the number 222222 222. The first prize goes to the lottery card with the number 123123 123. What color(s) can it possibly have? Prove your answer.
Dataset text NuminaMath olympiads. Quoted with source.
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red
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