John and Vic volunteer for a game on a T.V show with the following rules: (1)A set of the first n natural numbers (where n is not less than 4)is taken. (2)All posible pairs are found which are of the form(i,j)(where 1<_i<j<_n). (3)Each such pair is written on a slip of paper and alloted to a volunteer. {e.g if n=4,there will be 6 volunteer with slips bearing(1,2),(1,3),(1,4),(2,3),(2,4)and(3,4)}. (4)For a given volunteer,a "friend" is defined as one who has at least one number in common with him. (5)For a given volunteer, a"stranger" is one who has no numbers in common with him.