XAT 2010 Question 94

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


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