HMMT 2014 T3
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- Answer
There are girls and boys . A pair is called suitable if and only if girl is willing to marry boy . Given that there is exactly one way to pair each girl with a distinct boy that she is willing to marry, what is the maximal possible number of suitable pairs?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{n(n+1)}{2}
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