The problem with dinner parties…
Mr and Mrs Smith are having a dinner party, and have invited Mr and Mrs Armstrong, Mr and Mrs Brown, Mr and Mrs Cuthbert and Mr and Mrs Dixon. As people arrive, they shake hands, always keeping to the following rules of etiquette:
- No one shakes their own hand
- No one shakes their partners hand
- No pair shakes hands more than once
After the dinner, Mr Smith asked everyone how many times they had shaken hands this evening, and discovered that they had all done it a different number of times.
How many times did Mrs Smith shake hands?