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Class 11MathematicsPermutations and CombinationsPermutationsExpert
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In a circular seating of (10) distinct people on equally spaced seats, (A) and (B) must sit exactly opposite each other. How many arrangements are possible?

Answer and explanation

Correct answer: (80640)

Fix (A); the opposite seat for (B) is fixed, and the remaining (8) people can be arranged in (8!) ways. Exam tip: fix one person to remove circular symmetry.

Related tags

PermutationsCircular SeatingOpposite SeatsClass 11Permutations And CombinationsMathematicsClass 11 Mcq
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