On hand shakes : a combinatorial problem
Antoine Grech, Ian Walker · OAR@UM (University of Malta) · 2003
A number n of couples meet at one of the couples' homes. The female host (Fh) notices that no two of the people present (excluding herself) shake hands with the same number of people. No person shakes hand with the partner. With how many people does her husband (Hh) shake hands?