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Question 33
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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