Please help me solve this problem:

Assuming that in a box there are $10$ black socks and $12$ blue socks, calculate the maximum number of socks needed to be drawn from the box before a pair of the same color can be made. Using the pigeonhole principle .

The pigeonhole principle: if $k$ is a positive integer and $k+1$ or more object are placed into $k$ boxes , than there is at least one box containing two or more of the object .


closed as off-topic by user147263, Zev Chonoles, Claude Leibovici, user223391, Tom-Tom Jul 8 '15 at 7:55

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Three boxes.

Your "holes" are the two colors, and your "pigeons" are the socks. If you have three socks, two of them must be same color, forming a pair.


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