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Theorem on friends and strangers : ウィキペディア英語版
Theorem on friends and strangers

The theorem on friends and strangers is a mathematical theorem in an area of mathematics called Ramsey theory.
==Statement==
Suppose a party has six people. Consider any two of them. They might be meeting for the first time—in which case we will call them mutual strangers; or they might have met before—in which case we will call them mutual acquaintances. The theorem says:
:In any party of six people either at least three of them are (pairwise) mutual strangers or at least three of them are (pairwise) mutual acquaintances.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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