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

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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
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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
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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
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
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
Please either type up the solution or wirte in clear
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
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
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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
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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
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