This week I attended a BYU math club, the week's lesson was on the pidgeonhole principle. The pidgeonhole principle says that if you have less categories then objects, one or more objects must be in the same category. For example, if you have three gloves you have to have either two left or two right because there are only two categories, left and right.
I got most of the problems from the math club right, here is an example of one of the problems.
Imagine you have six boxes labeled one through six. What is the minimum number of balls you must have so that it's immpossible to not have a box with more than N^2 balls?
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