Mind-Bending Math & GamesCombinatorics
The Party Puzzle
At any party of six, three are all friends or all strangers
Throw a party for six people you've picked completely at random. There's one thing about your guests you can promise before anyone arrives. What?
You'll find out
- What six guests can never avoid
- Why five guests can slip through
- The party size no one can compute
Why it matters
It's the simplest case of a deep idea: in any big enough crowd, network or data set, some pattern is unavoidable.
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