Question 94

# If all letters of the word "CHCJL" be arranged in an English dictionary, what will be the $$50^{th}$$ word?

Solution

The alphabetical order = CCHJL

Number of words starting with C = $$4! = 24$$

Number of words starting with H = $$\frac{4 !}{2} = 12$$

Number of words starting with J = $$\frac{4 !}{2} = 12$$

Total words till now = 24 + 12 + 12 = 48

First word starting with L (49th in dictionary) = LCCHJ

Therefore, the 50th word =  LCCJH