Determine the minimum number of people at a party so that at least one of the following occurs: There are three people that are face-to-face acquaintances (f2f friends), there are three people that have met online, but not face to face (online friends) or there are three people that are mutual strangers, having never met before. I recieved a hint to use the pigeonhole principle here but I am confused.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.