Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers
Por um escritor misterioso
Last updated 17 fevereiro 2025
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://miro.medium.com/v2/resize:fit:1400/1*5LJcp4pk7Y_XsTLx-KvvUw.png)
Let’s take a look at Alice first. To her, each one of the other five (Bob, Carol, Dave, Ellen, and Frank) is either a friend or a stranger. Suppose Bob, Dave, and Frank are friends to Alice, and…
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://d2vlcm61l7u1fs.cloudfront.net/media%2F0a6%2F0a68d2d9-ab3e-4822-a97f-99ab0ffc6c06%2FphpHnusnr.png)
Solved 1. Show that in any group of 6 people, there is
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://media.cheggcdn.com/media%2F504%2F50488576-e719-46aa-9a5b-cf52ac9f5c74%2FphpbV8CmZ.png)
Solved 4. Prove that in any group of 6 people there are
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](http://slideplayer.com/slide/17405687/101/images/16/Questionnaire+In+a+party+of+6+people%2C+is+it+possible+to+have+3+mutual+friends+and+3+mutual+strangers+simultaneously.jpg)
Party Problem The simplest example of Ramsey theory. It is also known as the 'Maximum Clique Problem'. A clique of a graph is a complete sub graph of the. - ppt download
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](http://blogs.ams.org/mathgradblog/files/2013/05/K6.gif)
Party At Ramsey's
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://miro.medium.com/v2/resize:fit:1282/1*qPfaKdVNkRN15RAPzsbIHw.png)
Theorem on Friends and Strangers. Ramsey Theory and Graham's Number, by Francesco Di Lallo
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://i.ytimg.com/vi/QpLVbVWpQRc/hq720.jpg?sqp=-oaymwEhCK4FEIIDSFryq4qpAxMIARUAAAAAGAElAADIQj0AgKJD&rs=AOn4CLD3P_UETLdxe-WRFTN9VbubRjdpAw)
The Friendship Theorem - You Always Have 3 Friends Or 3 Strangers At A Party
How to prove: at a party of six people either there are three mutual acquaintances or there are three mutual strangers - Quora
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://miro.medium.com/v2/resize:fit:1400/1*vR65axJce24009HPwQM-Aw.png)
Theorem on Friends and Strangers. Ramsey Theory and Graham's Number, by Francesco Di Lallo
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://i.ytimg.com/vi/QOU6DEHFdq8/maxresdefault.jpg)
Can 6 People Uncover a Mathematical Certainty? The Surprising Truth!
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://jpmccarthymaths.files.wordpress.com/2017/11/graph14.jpg?w=584)
Correlation, Causation, and Ramsey Theory
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://miro.medium.com/v2/resize:fit:566/1*EW2B4Kyo5m2V-fhLj8eYCg.png)
Theorem on Friends and Strangers. Ramsey Theory and Graham's Number, by Francesco Di Lallo
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://plus.maths.org/issue16/features/ramsey/images/9rededges.gif)
Friends and strangers
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://miro.medium.com/v2/resize:fit:1200/1*Zi7objuWSKPvJNQaNnXDrw.png)
Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers
![Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers](https://images.theconversation.com/files/179639/original/file-20170725-30149-in14d6.png?ixlib=rb-1.1.0&q=45&auto=format&w=1000&fit=clip)
This math puzzle will help you plan your next party
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