first person can be selected in 16c1 ways.now two persons adjacent to him cannot be selected.out of the remaining 13 persons 6 are to be selected and 7 are not to be selected.Mark + marks for persons not to be selected and they(persons not tobe selected) can be partitioned in 8 ways.out of these 8 partitions 6 are to be selected,in 8c6 ways
(16c1* 8c6)/7==64
dividing by 7 implies the first person chosen may be any of the selected 7,i.e 7 times we get same selection.
ans==64