Question

If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary, then the position of the word SMALL is ?

• A. ${46}^{th}$
• B. ${59}^{th}$
• C. ${52}^{th}$
• D. ${58}^{th}$

Answer 1

The correct option is D ${58}^{th}$

Clearly, number of words start with A $=\frac{4!}{2!}=12$
Number of words start with L = 4! = 24
Number of words start with M = $\frac{4!}{2!}=12$
Number of words start with SA = $\frac{3!}{2!}=3$
Number of words start with SL = 3! = 6
Note that, next word will be “SMALL”.
Hence, the position of word “SMALL: is ${58}^{th}.$