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Subjects
Class 11MathematicsPermutations and CombinationsPermutationsHard
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In how many ways can a necklace be made using (9) distinct beads if rotations and reflections are considered identical?

Answer and explanation

Correct answer: (20160)

For a necklace, the count is ((9-1)!/2) because both rotation and reflection are identical. Remember the difference between circular seating and necklaces.

Related tags

PermutationsNecklaceCircular PermutationsPermutations 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?
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  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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