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Math Help - how many balls

  1. #1
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    how many balls

    Presume that in a box there are 10 black balls and 12 blue balls and you need to get one pair of ball of the same colour. Supposing you can take balls out of the box only once and only without looking, how many balls do you have to pull out together?

    (Use pigeonhole principle).
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  2. #2
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    Quote Originally Posted by king imran View Post
    Presume that in a box there are 10 black balls and 12 blue balls and you need to get one pair of ball of the same colour. Supposing you can take balls out of the box only once and only without looking, how many balls do you have to pull out together?

    (Use pigeonhole principle).
    3.

    If you pull out 3 balls these are your pigeons. The holes are either black or blue. Since 3>2 by Dirichlet's principle two must be the same color.
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