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JEE Main2017MathematicsPermutation and CombinationActual

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. A47 t h
  2. B45 t h
  3. C46 t h
  4. D44 t h

Correct answer

C. 46 t h

Step-by-step solution

E ,   E ,   N ,   Q ,   U ( i ) E … … … . =  4!  =  24 ( i i ) N … … … . = 4 ! 2 = 12 ( i i i ) Q   E … … . . = 3 ! = 6 i v Q   N … … . . = 3 ! 2 ! = 3 v Q   U   E   E   N = 1 Total = ( i ) + ( i i ) + ( i i i ) + ( i v ) + ( v ) = 46 t h

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