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In a row of (8) people, how many arrangements have at least (3) people between (A) and (B)?

Answer and explanation

Correct answer: (14400)

The positions of (A,B) must differ by at least (4), giving (10) position pairs and (2) orders. The remaining (6!) people are arranged afterward.

Related tags

PermutationsSeatingPosition GapPermutations And CombinationsMathematicsClass 11 Mcq

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