SOLUTION: How many ways can 9 persons be seated around a table if 4 individuals insist on sitting next to each other?

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Question 1178127: How many ways can 9 persons be seated around a table if 4 individuals insist on sitting next to each other?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
4 individuals insist on sitting next to each other.. consider them as one unit.  
then: 6 in a circle:  (6-1)! ways
Considering the ways the unit of 4 can be arranged amongst each other is 4! ways
  total ways:  4!*5!

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