JEE Main On 8 April 2017 Question 12

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: [JEE Online 08-04-2017]

Options:

A) 47th

B) 45th

C) 46th

D) 44th

Show Answer

Answer:

Correct Answer: C

Solution:

  • E, E, N, Q, U (i) $ E……..=24 $ (ii) $ N……..=\frac{4!}{2}=12 $ (iii) $ Q,N……..=3!=6 $ (iv) $ Q,N……..=\frac{3!}{2!}=3 $ (v) $ QUEEN=1 $ Total = (i) + (ii) + (iii) + (iv) + (v) = 46th