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  4. 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 :

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Q. 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 MainJEE Main 2017Permutations and Combinations

Solution:

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