At a meeting of the 7 Joint 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 7 Chiefs of Staff be seated around a circular table?
Select
A) 120	B) 480	C) 960	D) 2520	E) 5040
7 people can be arranged around circular table in  (7-1)= 
<gadget id="calculator"> (7-1)</gadget>
<output>6</output>
6! # of ways.   Consider the two people (A and B) who do not want to sit together as one unit: {AB}. Now, 6 units {AB}, {C}, {D}, {E}, {F} and {G} can can be arranged around circular table in  (6-1)= 
<gadget id="calculator"> (6-1)</gadget>
<output>5</output>
5! # of ways. A and B can be arranged within their unit in two ways {AB} and {BA}. Thus the # of ways those two people sit together is 2*5!.   The number of ways they do not sit together= {Total} - {Restriction} = 6! - 2*5! = 5!(6 - 2) = 480.   Answer: 480.
<result>B</result>
At a meeting of the 7 Joint 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 7 Chiefs of Staff be seated around a circular table?