JEE Main 2017MathematicsPermutation CombinationHardMCQ

JEE Main 2017Permutation Combination Question with Solution

JEE Main 2017 (08 Apr Online)

Question

If all the words, with or without meaning, are written using the letters of the word QUEEN and are arranged as in English dictionary, then the position of the word QUEEN is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C46th

Step-by-step explanation

E, E, N, Q, U

(i)  E.4! 24

(ii) N.=4!2=12

(iii) Q E..=3!=6

iv Q N..=3!2!=3

v Q U E E N=1

Total =(i)+(ii)+(iii)+(iv)+(v)=46th

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About this question

This is a previous-year question from JEE Main 2017, 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.