(C) The letters of the word $RACHIT$ in alphabetical order are: $A, C, H, I, R, T$.Words starting with $A$: $5! = 120$Words starting with $C$: $5! = 1

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(C) The letters of the word $RACHIT$ in alphabetical order are: $A, C, H, I, R, T$.Words starting with $A$: $5! = 120$Words starting with $C$: $5! = 120$Words starting with $H$: $5! = 120$Words starting with $I$: $5! = 120$After these,the next words start with $R$. The first word starting with $R$ is $RACHIT$.Therefore,the rank of the word $RACHIT$ is $(4 \times 120) + 1 = 480 + 1 = 481$.

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 $RACHIT$ are arranged in all possible ways and these words are listed in dictionary order,what is the rank of the word $RACHIT$?

A
$365$
B
$702$
C
$481$
D
None of these

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If the letters of the word $RACHIT$ are arranged in all possible ways and these words are listed in dictionary order,what is the rank of the word $RACHIT$?

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