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    Question

    There are thirty balls in my cupboard in complete

    disarray. Ten are black, ten are red and ten are brown, but I cannot distinguish the colors in the dark. How many balls should I take from the cupboard so that there is at least one pair of the same color?
    A 3 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer

    Solution

    Total number of balls = 30 There are 3 colored balls present in 30 balls. When we take out 3 balls, there is a possibility that all three balls may be of different colors. But when we take out 4 balls (at least), then two balls of one color will come out. Hence, there will be a pair of the same color present in 4 balls.

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