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Six people are to be seated around a circular table. In how many ways can this be done if two particular people insist on sitting next to each other?

Competition practiceProbability & Permutation
  • A120
  • B240
  • C24
  • D48

Step-by-Step Solution

Treat the inseparable pair as a single unit, leaving 5 units around the circle: (5-1)! = 4! = 24 arrangements. The pair can swap places within the unit in 2! = 2 ways. Total = .
Answer: D) 48

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