Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationArrangement under ConstraintMedium2 minPYQ_2018

MathematicsMediumsingle choice

From $6$ different novels and $3$ different dictionaries, $4$ novels and $1$ dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is:

Options:

Answer:

Solution:

$N_{1}, N_{2}, D, N_{3}, N_{4}$

$N \to$ Novels

$D \to$ Dictionary

$D$ can be chosen in $3$ ways

$N_{1} \to 6$

$N_{2} \to 5$

$N_{3} \to 4$

$N_{4} \to 3$

Total ways $= 3 \times 6 \times 5 \times 4 \times 3 = 1080$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Arrangement under Constraint

⏱ 2mℹ️ Source: PYQ_2018

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