SOLUTION: In how many ways can 6 people be seated if two people insisted of sitting next to each other?

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Question 1055424: In how many ways can 6 people be seated if two people insisted of sitting next to each other?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Let the people be A,B,C,D,E,F 

Suppose A and B insist on sitting next to each other

Then we have 

these 5 things to arrange in a line: 

AB,C,D,E,F 

which is 5! ways, 

plus 

these 5 things to arrange in a line:

BA,C,D,E,F 

which is also 5! ways.

Answer 2×5! = 2×120 = 240 ways. 

Edwin
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