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Class 11MathematicsPermutations and CombinationsPermutationsExpert
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In a row of (9) distinct people, (A) and (B) are together, but (C) is not immediately next to either of them. How many arrangements are possible?

Answer and explanation

Correct answer: (10080)

Form an (AB) block among (8) objects, then subtract cases where (C) is adjacent to the block on either outside side; total is (2!\times(8!-2\times7!)). Exam tip: compound restrictions may need both block and subtraction.

Related tags

PermutationsBlock MethodCompound RestrictionClass 11Permutations And CombinationsMathematicsClass 11 Mcq
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