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(8) distinct cards are to be arranged in a row. How many arrangements have exactly (2) cards between two particular cards?

Answer and explanation

Correct answer: (8640)

The positions of the two particular cards differ by (3), giving (5) position pairs and (2) orders, then the remaining (6!) arrangements. Count position pairs for exact gaps.

Related tags

PermutationsClass11ExpertExact GapPermutations And CombinationsMathematicsClass 11 Mcq

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