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A box contains 100 balls of different colors: 28 red, 17 blue, 21 green, 10 white, 12 yellow, 12 black. What is the smallest number

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A box contains 100 balls of different colors: 28 red, 17 blue, 21 green, 10 white, 12 yellow, 12 black. What is the smallest number n such that any n balls drawn from the box will contain at least 15 balls of the same color? (A) 73 (B) 75 (C) 77 (D) 81 (E) 85

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