(C) The letters of the word $SACHIN$ are $A, C, H, I, N, S$ in alphabetical order.Words starting with $A$: $5! = 120$ words.Words starting with $C$: $

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(C) The letters of the word $SACHIN$ are $A, C, H, I, N, S$ in alphabetical order.Words starting with $A$: $5! = 120$ words.Words starting with $C$: $5! = 120$ words.Words starting with $H$: $5! = 120$ words.Words starting with $I$: $5! = 120$ words.Words starting with $N$: $5! = 120$ words.Total words before words starting with $S$ are $5 \times 120 = 600$.The next word in the dictionary is the first word starting with $S$,which is $SACHIN$.Therefore,the serial number of $SACHIN$ is $600 + 1 = 601$.

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

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If the letters of the word $SACHIN$ are arranged in all possible ways and these words are written out as in a dictionary,then the word $SACHIN$ appears at serial number:

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A
$603$
B
$602$
C
$601$
D
$600$

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Permutation and Combination

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Definition of permutation, Number of permutations with or without repetition, Conditional permutations

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If the letters of the word $SACHIN$ are arranged in all possible ways and these words are written out as in a dictionary,then the word $SACHIN$ appears at serial number:

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