Question

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

Accepted Answer

C. Alphabetical order of letters: C, C, H, J, L. - Words starting with C: remaining C, H, J, L $\implies 4! = 24$ words. - Words starting with H: remaining C, C, J, L $\implies \frac{4!}{2!} = 12$ words. - Words starting with J: remaining C, C, H, L $\implies \frac{4!}{2!} = 12$ words. Total words so far = $24 + 12 + 12 = 48$ words. $49^{	ext{th}}$ word (starts with L): LCCHJ. $50^{	ext{th}}$ word: LCCJH.

Permutation: Dictionary Order of CHCJL

Explanation

Practise this under exam conditions