If all the words, with or without meaning, are written using the letters of the word QUEEN…

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 :

Accepted Answer

To find the position of the word QUEEN:

$$\bullet$$ The number of words starting with E is 4! = 24.

$$\bullet$$ The number of words starting with N is $${{4!} \over 2} = 12$$.

$$\bullet$$ The number of words starting with QE is 3! = 6.

$$\bullet$$ Number of words starting with QN is $${{3!} \over 2} = 3$$.

Therefore, the position of the word QUEEN is next to the sum, 24 + 12 + 6 + 3 = 45.

That is, the word 'QUEEN' will be on 46th position.

Solutions · 1