Seven family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?  Choose the correct choice from the following choices
A) 120 B) 240 C) 360 D) 480 E) 720
As I see it : 7 members, and Michael &amp; Bobby sit together. So treat those two like a single person. Now you have to arrange 6 people around a table. This may be done in 5! or 120 ways   The number of ways to arrange Michael &amp; Bobby is 2 (MB or BM).   So net there are 240 ways or 240
<result>B</result>
Seven family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?