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

Question

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

Smart Achievers · Accepted Answer

(4)

$↓ Fixed$

$S A C H I N$

No. of words start with A = $5!$

No. of words start with C = $5!$

No. of words start with H = $5!$

No. of words start with I = $5!$

No. of words start with N = $5!$

Total words = $5! + 5! + 5! + 5! + 5!$ $= 5 (5!)$ $= 600$

Now, add the rank of SACHIN.

So, the required rank of SACHIN $= 600 + 1$ $= 601$

Solution

Q.
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

1 602

2 603

3 600

4 601

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