The letters of the word COCHIN are permuted a | vedclass

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(C) The letters of the word $COCHIN$ are $C, C, H, I, N, O$. Arranging them in alphabetical order: $C, C, H, I, N, O$.Words starting with $C$ (first l

Vedclass · Accepted Answer

$96$

Vedclass · Answer

(C) The letters of the word $COCHIN$ are $C, C, H, I, N, O$. Arranging them in alphabetical order: $C, C, H, I, N, O$.Words starting with $C$ (first letter fixed): Remaining letters are $C, H, I, N, O$. Total arrangements = $\frac{5!}{1!} = 120$.However,we need to find words before $COCHIN$.$1$. Words starting with $C C$: Remaining letters $H, I, N, O$. Arrangements = $4! = 24$.$2$. Words starting with $C H$: Remaining letters $C, I, N, O$. Arrangements = $4! = 24$.$3$. Words starting with $C I$: Remaining letters $C, H, N, O$. Arrangements = $4! = 24$.$4$. Words starting with $C N$: Remaining letters $C, H, I, O$. Arrangements = $4! = 24$.$5$. Words starting with $C O C$: Remaining letters $H, I, N$. Arrangements = $3! = 6$.$6$. Words starting with $C O H$: Remaining letters $C, C, I, N$. Arrangements = $\frac{4!}{2!} = 12$.Wait,let's list systematically:Words starting with $C$:- $CC...$: $4! = 24$- $CH...$: $4! = 24$- $CI...$: $4! = 24$- $CN...$: $4! = 24$- $COC...$: $3! = 6$Total words before $COCHIN$ = $24 + 24 + 24 + 24 + 6 = 102$. Re-evaluating: The word is $COCHIN$. Alphabetical order: $C, C, H, I, N, O$. Words starting with $C$:- $CC...$: $4! = 24$- $CH...$: $4! = 24$- $CI...$: $4! = 24$- $CN...$: $4! = 24$- $COC...$: $3! = 6$Total = $96$.

The letters of the word $COCHIN$ are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word $COCHIN$ is

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