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Question
If the letters of the word SACHIN are arranged in all possible ways and these words are written in dictionary order, then the word SACHIN appears at serial number
If the letters of the word SACHIN are arranged in all possible ways and these words are written in dictionary order, then the word SACHIN appears at serial number
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Solution
The correct option is B 601
In dictionary A> C> H> I> N> S
Now
S A C H I N, Fixed
No of word start with A=5!
No of word start with C=5!
No of word start with H=5!
No of word start with I=5!
No of word start with N=5!
Total words =5!+5!+5!+5!+5!=5(5!)=600
Now first word starting with S will be SACHIN
Hence, required rank of SACHIN =600+1=601
In dictionary A> C> H> I> N> S
Now
S A C H I N, Fixed
No of word start with A=5!
No of word start with C=5!
No of word start with H=5!
No of word start with I=5!
No of word start with N=5!
Total words =5!+5!+5!+5!+5!=5(5!)=600
Now first word starting with S will be SACHIN
Hence, required rank of SACHIN =600+1=601
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