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Think of a combination that has all the socks below 4 but the maximum possible .
suppose they draw 3 blue 3 red 3 white and 2 black socks then next sock will be either white blue or red
as there aren''t more than 2 black socks .
so total number of socks = 3 + 3 + 3 + 2 + 1 = 12 .
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