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Class 11MathematicsPermutations and CombinationsPermutationsExpert
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(6) distinct people are to be seated in (8) numbered seats. How many arrangements have at least (2) seats or people between (A) and (B)?

Answer and explanation

Correct answer: (16800)

First choose ordered seat pairs for (A,B) with distance at least (3); there are (42) such pairs, then seat the remaining (4) people in (^{6}P_{4}) ways. Exam tip: position-pair counting is useful for numbered seats.

Related tags

PermutationsNumbered SeatsGap ConditionClass 11Permutations And CombinationsMathematicsClass 11 Mcq
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