At a meeting of the 6 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?	Select the correct option:  A) 56  B) 64  C) 72  D) 80  E) 88
6 people can be arranged around a table in 5! ways.   Consider the two chiefs who will not sit together as a single unit.   The number of ways to arrange 5 units around a table is 4!   We need to multiply this by 2 as the two people can be switched in each arrangement.   The total number of ways to arrange the chiefs is 5! - 2*4! = 3*4! = 72   The answer is 72.
<result>C</result>
At a meeting of the 6 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?