Enigma 271: Who knows whom?
7 April 2015
Posted by on
From New Scientist #1418, 23rd August 1984 [link]
There were six people in the room. The farmer said “Of the remaining five people here the accountant and the chemist are friends, the accountant and the butcher are friends, the butcher and the chemist are friends, the chemist and the dentist are friends, and the butcher and the engineer are friends. No other pair of the five are friends”.
Mr Fox said: “of the five remaining people here Mr Allen and Mr Brown are friends, Mr Brown and Mr Cook are friends, Mr Cook and Mr Davies are friends, and Mr Davies and Mr Easton are friends. No other pair of the five are friends”.
Fred said: “of the five remaining people here Andrew and Brian are friends, Brian and Charles are friends, Charles and David are friends, Brian and David are friends, Andrew and Charles are friends, and David and Edward are friends. No other pair of the five are friends”.
The butcher is not called Charles nor Davies, and Charles’s surname is not Cook. Write down the names of the six people (christian name and surname) in alphabetical order of occupation.