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Subjects
Class 11MathematicsPermutations and CombinationsPermutationsHard
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In how many ways can (8) people sit around a circular table if (A) and (B) sit opposite each other?

Answer and explanation

Correct answer: (720)

Fix (A), then the opposite place for (B) is fixed, and the remaining (6) people arrange in (6!) ways. For opposite seating, fix one person first.

Related tags

PermutationsCircular SeatingOpposite PositionsPermutations And CombinationsMathematicsClass 11 Mcq
सुधार सुझाएँ / Earn

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10 more MCQs
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  3. 3How many (3)-digit numbers can be formed from digits (1,3,5,7,9) without repetition?
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  5. 5Three distinct prizes are to be awarded to seven students. No student can receive more than one prize. How many ways are possible?
  6. 6If \(\frac{(n+5)!}{(n+3)!}=210\), what is the value of \(n\)?
  7. 7What is the value of \(\frac{21!}{19!\cdot2!}-\frac{18!}{16!\cdot2!}\)?
  8. 8If \(\frac{(n+1)!}{(n-1)!}-\frac{n!}{(n-2)!}=24\), what is the value of \(n\)?
  9. 9What is the value of \(\frac{22!}{20!\cdot 2!}-\frac{21!}{20!}\)?
  10. 10If (5) different books are arranged in a row, how many ways are possible?
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