82. In how many ways can 6 people be seated at a round table, considering the arrangements different if at least some of the seated individuals have new neighbors?
82. New neighbors will not appear if the seating arrangements are obtained from one another by rotation around a circle or by symmetric reflection. In the previous problem, only rotation around a circle was considered. To account for symmetric reflection, the result of the previous problem should be divided by 2. Answer. $120: 2=60$.