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Class 11MathematicsPermutations and CombinationsPermutationsExpert
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In how many ways can (6) distinct books be arranged around a circular table if two particular books are not opposite?

Answer and explanation

Correct answer: (96)

Fix one book; for the other, (1) of the (5) positions is forbidden, and the remaining books arrange in (4!) ways. For opposite-position restrictions, fix one object.

Related tags

PermutationsCircular ArrangementOpposite PositionsPermutations And CombinationsMathematicsClass 11 Mcq
सुधार सुझाएँ / Earn

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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 \(\frac{22!}{20!\cdot 2!}-\frac{21!}{20!}\)?
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