JEE Main 2020MathematicsPermutation CombinationEasyMCQ

JEE Main 2020 — Permutation Combination Question with Solution

JEE Main 2020 (06 Sep Shift 1)

Question

Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same family members are not separated ?

Choose an option

Show full solutionCorrect option: B
Correct answer
B(3!)3·(4!)

Step-by-step explanation

We will use the concept 'objects are together'

 3! ⏟Total 3 families×3!2⏟families with all 3 members together× 4! ⏟family with all 4 together

=(3!)3×4!

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About this question

This is a previous-year question from JEE Main 2020, 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.