If all the letters of the word RASAM can be arranged as in a dictionary, what is

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If all the letters of the word RASAM can be arranged as in a dictionary, what is its rank?

Answer: Option C
:
C
First we fix A as the first letter
No. of words possible with A as the first letter = 4! = 24
No. of words possible with M as the first letter=

\frac{4!}{2!}

= 12
No. of words possible with RAA as the first 3 letters = 2
No. of words possible with RAM as the first 3 letters = 2
Next word will be RASAM
Rank= 41

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