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+1 vote
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in Permutations by (25.0k points)
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If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is 

A. 324 

B. 341 

C. 359 

D. none of these

1 Answer

+2 votes
by (27.2k points)
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Best answer

Option : (A)

We have, 

6 objects {K}, {R}, {I}, {S}, {N}, {A}. 

So, 

The total number of words that can be formed using the letters of the word “KRISNA” = 6! 

= 720. 

Writing the letters of the word “KRISNA” alphabetically, 

i.e.,

{A}, {I}, {K}, {N}, {R}, {S}.

Hence, 

There are 323 words before “KRISNA”, then the rank of the word “KRISNA” is (323 + 1) 

= 324.

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