SOLUTION: How many ways can seven people be seated in a row if two of them refuse to sit next to each other?

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Question 103080: How many ways can seven people be seated in a row if two of them refuse to sit next to each other?
Answer by stanbon(48546) About Me  (Show Source):
You can put this solution on YOUR website!
How many ways can seven people be seated in a row if two of them refuse to sit next to each other?
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Place those two people:
7 ways to place the 1st person
5 wyas to place the 2nd person
Place the remaining 5 people - 5! ways
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Total ways = 7*5*5! = 35*120 = 4200 ways
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Cheers,
Stan H.