If all the words (with or without meanining having five letters, formed usingg the letters of the word SMAL and arranged as in a dictionary, then the position of the word SMALL is

Options

A. `46^(th)`
B. `59^(th)`
C. `52^(th)`
D. `58^(th)`

Explanation

We find that:
Number of words beginning with `A=(4!)/(2!)=12`
Number of words beginning with `L=4!""=24`
Number of word beginning with `M=(4!)/(2!)=12`
The word SMALL is in the series of words beginning with S.
Number of words beginning with `SA=(3!)/(2!)=3`
Number of words beginning with `SL=3!=6`
Number of words beginning with `SM=(3!)/(2!)=3`
One of these words is the word SMALL.
Number of words beginning with SMA=1
The word beginning with SMA is SMALL.
Hence, the position of the word SMALL is
`(12+24+12+3+6+1)^(th)=58^(th)`