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I'd say 9. Even if he gets all the green ones and all the blue ones before he gets a single red one, at 8 he will run out of greens and blues. The next one has to be red.

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Q: In his pocket a boy has 3 red marbles 4 green marbles 4 blue marbles how many will he have to take out of his pocket to ensure that he has taken out at-least one of each color?
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