Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationArrangement under ConstraintMedium2 minQB
MathematicsMediummatching list

Two Indian couples, two American couples and one unmarried person are seated or interviewed. Match each count. Column I: (A) In a row, an Indian wife and an American wife flank the unmarried person. (B) In a row, the unmarried person sits in the middle. (C) At a circular table, an Indian and American wife flank the unmarried person. (D) Nine interviews, with each wife after her husband. Column II: (p) 22680 (q) 5760 (r) 40320 (s) 24320

Column I

Column II

(A) In a row, an Indian wife and an American wife flank the unmarried person.

(p) 22680

(B) In a row, the unmarried person sits in the middle.

(q) 5760

(C) At a circular table, an Indian and American wife flank the unmarried person.

(r) 40320

(D) Nine interviews, with each wife after her husband.

(s) 24320

Options:

Answer:
D
Solution:

A: . B: . C: fix the unmarried seat and order flanking spouses in ways. D: four independent husband-before-wife restrictions yield .

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Arrangement under Constraint
⏱ 2mℹ️ Source: QB

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