If all the words, with or without meaning, are written using the letters of the word QUEEN add are arranged as in  English Dictionary, then the position of the word QUEEN is

Word: QUEEN (letters: E, E, N, Q, U). Arrange in dictionary order: E < N < Q < U.

1. 1st position < Q:
   • Start with E: permutations of {E,N,Q,U} = \( \frac{4!}{1!}=24 \)
   • Start with N: permutations of {E,E,Q,U} = \( \frac{4!}{2!}=12 \)
   Total before Q… = \(24+12=36\)
2. Fix Q, 2nd position < U:
   • Q E _ _ _: perms of {E,N,U} = \( \frac{3!}{1!}=6 \)
   • Q N _ _ _: perms of {E,E,U} = \( \frac{3!}{2!}=3 \)
   More before QU… = \(6+3=9\)
3. Fix QU: Remaining {E,E,N}. Next letter is E (smallest), so add 0.
4. Fix QUE: Remaining {E,N}. Next letter is E (smallest), so add 0.

Total before “QUEEN” = \(36+9=45\). Hence rank = \(45+1=\boxed{46}\).