SOLUTION: In how many ways can 7 people be seated in a row of chairs if two of the people, David and Becky, refuse to sit together?

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Question 390476: In how many ways can 7 people be seated in a row of chairs if two of the people, David and Becky, refuse to sit together?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
# ways of arranging 7 people in a row - # ways of arranging 7 people in which David and Becky SIT TOGETHER = 7! - 6!2! = 3,600 ways.