Arrangements in a round table
Source: Finnish Mathematics Competition 2005, Final Round, Problem 2
November 14, 2011
combinatorics unsolvedcombinatorics
Problem Statement
There are seats at a round table in a restaurant. A group of five women and seven men arrives at the table. How many ways are there for choosing the sitting order, provided that every woman ought to be surrounded by two men and two orders are regarded as different, if at least one person has a different neighbour on one's right side.