KöMaL 2019 K630
A party is breaking up, and everyone is going home. To say goodbye, every female participant shakes hands with every other female participant, and every male participant shakes hands with every other male participant. During this process, a friend of the host turns up, who shakes hands with everyone he knows, males and females alike. Given that 5 of the participating men also brought their wives along, and 83 handshakes took place altogether, what may be the number of persons known by the friend of the host?
Official text KöMaL. Quoted with source.
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