Difference between revisions of "Pigeonhole principle"

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Revision as of 08:00, 5 June 2015

In mathematics, the pigeonhole principle states that if n items are put into m containers, with n > m, then at least one container must contain more than one item.

This theorem is exemplified in real-life by truisms like "there must be at least two left gloves or two right gloves in a group of three gloves".

It is an example of a counting argument (see Combinatorics), and despite seeming intuitive it can be used to demonstrate possibly unexpected results -- for example, that two people in London have the same number of hairs on their heads.

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