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(5) children are to be seated on (5) assigned chairs. Exactly (2) children must sit on their assigned chairs. How many arrangements are possible?

Answer and explanation

Correct answer: (20)

First choose the (2) children who sit correctly, then derange the remaining (3) children. Exact fixed-position conditions use derangements.

Related tags

DerangementSeatingExactlyFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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