Question:
In how many ways can 7 people be seated at a roundtable if 2 particular people must notsit next to each other?
In how many ways can 7 people be seated at a roundtable if 2 particular people must notsit next to each other?
Updated On: Oct 8, 2024
- 5040
- 240
- 480
- 720
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The Correct Option is C
Solution and Explanation
For circular arrangement of \(n\) people the formula = \((n - 1)!\)
Given that 7 people in the question so it will be \(6!\) = 720 (without any restrictions)
In question it is given that 2 particular people must not sit next to each other
making it \(5!\) for two people it will be \(5! \times 2 =240\)
In restricted cases from the total arrangements = 720 - 240 = 480
The correct option is (C): 480
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