(A) The letters of the word $KRISNA$ are $A, I, K, N, R, S$. Total letters = $6$.Alphabetical order: $A, I, K, N, R, S$.$1$. Words starting with $A$:

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(A) The letters of the word $KRISNA$ are $A, I, K, N, R, S$. Total letters = $6$.Alphabetical order: $A, I, K, N, R, S$.$1$. Words starting with $A$: $5! = 120$.$2$. Words starting with $I$: $5! = 120$.$3$. Words starting with $K$:- $KA$: $4! = 24$.- $KI$: $4! = 24$.- $KN$: $4! = 24$.- $KR$:- $KRA$: $3! = 6$.- $KRI$:- $KRIA$: $2! = 2$.- $KRIN$: $2! = 2$.- $KRIS$:- $KRISA$: $1! = 1$.- $KRISN$:- $KRISNA$: $1! = 1$.Total rank = $120 + 120 + 24 + 24 + 24 + 6 + 2 + 2 + 1 + 1 = 324$.

Class 11 Mathematics Permutation and Combination Definition of permutation, Number of permutations with or without repetition, Conditional permutations

Medium

If the letters of the word $KRISNA$ are arranged in all possible ways and these words are written out as in a dictionary,then the rank of the word $KRISNA$ is

A
$324$
B
$341$
C
$359$
D
None of these

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If the letters of the word $KRISNA$ are arranged in all possible ways and these words are written out as in a dictionary,then the rank of the word $KRISNA$ is

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