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JEE Main 20178 AprilOnline
Exam
JEE Main
Year
2017
Date
8 April
Mode
Online
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2017 · 8 April · Online · Mathematics · Permutation and Combination

If all the words, with or without meaning, are written using the...

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:

Options

  1. A47th{47}^{th}
  2. B45th{45}^{th}
  3. C46th{46}^{th}
  4. D44th{44}^{th}

Correct answer

C. 46th{46}^{th}

Step-by-step solution

E,E,N,Q,UE, E, N, Q, U

(i)E……….=4!=24( i ) E \ldots \ldots \ldots . = 4! = 24

(ii)N……….=4!2=12( ii ) N \ldots \ldots \ldots . = \dfrac{4 !}{2} = 12

(iii)QE……..=3!=6( iii ) QE \ldots \ldots . . = 3 ! = 6

\left(iv\right) QN \ldots \ldots . . = \dfrac{3 !}{2 !} = 3<br/><br/>(v)QUEEN=1<br /><br />\left(v\right) QUEEN = 1

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