Question

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

Hint:

To find the rank of a word in a dictionary arrangement, calculate the number of words that come before it and use factorials.

Answer 1

The Correct Option is B

The total number of distinct arrangements of the word KRISNA is \( \frac{6!}{2!} \), as the letter 'A' repeats twice. To find the rank, we calculate the number of words that precede KRISNA in the dictionary order, resulting in a rank of 341.
Step 2: Conclusion.
The correct answer is (B), 341.