JEE Main 2023 — Permutation Combination Question with Solution
JEE Main 2023 (11 Apr Shift 1)
Question
In an examination, students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on the allotted seat, is
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Show full solutionCorrect answer: 44
Correct answer
44
Step-by-step explanation
boys with allotted roll numbers and seat numbers are seated in such a way that no one sits on the allotted seats. The number of ways of such seating arrangement is equal to the derangement of boys i.e.,
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This is a previous-year question from JEE Main 2023, 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.