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All distinct permutations of the letters in KRISNA are listed in dictionary order. What is the position of the word KRISNA in that ordered list?

1. 324
2. 341
3. 359
4. None of these

Correct answer: 324

Solution

Letters sorted: A,I,K,N,R,S. Counting words before KRISNA: first letter (A,I before K) 2*5!=240; then R (A,I,N before R) 3*4!=72; then I (A before I) 1*3!=6; then S (A,N before S) 2*2!=4; then N (A before N) 1*1!=1; total 323, so KRISNA is at position 324.

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