Question

There are communities where the same family names occur time and again. In one such community it happened that one day there were ten men at the police station, six of them named
Miller. Altogether there were six policemen and four burglars. One Miller had arrested a Miller and one Smith a Smith. However, this burglar, Smith, was not arrested by his own brother. Nobody remembers who arrested Kelly but anyway, only a Miller or a Smith could have been responsible for that act. What are the names of these ten people?