JEE Main 2018MathematicsPermutation CombinationMediumMCQ

JEE Main 2018 — Permutation Combination Question with Solution

JEE Main 2018 (08 Apr)

Question

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:

Choose an option

Show full solutionCorrect option: B
Correct answer
BAt least 1000

Step-by-step explanation

N1, N2, D, N3, N4

N→ Novels

D→ Dictionary

D can be chosen in 3 ways

N1→6

N2→5

N3→4

N4→3

Total ways =3×6×5×4×3=1080

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About this question

This is a previous-year question from JEE Main 2018, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.