Question

If all the words with or without meaning made using all the letters of the word "KANPUR" are arranged as in a dictionary, then the word at 440^th position in this arrangement is:

• A. PRNAKU
• B. PRKANU
• C. PRKAUN
• D. PRNAUK

Hint:

For dictionary order problems, calculate each letter's positional contribution and count words accordingly.

Answer 1

The Correct Option is C

Alphabetical arrangement of letters: {A, K, N, P, R, U}

Step 1: Words beginning with A constitute 5! = 120 possibilities.

Step 2: Words beginning with K constitute 5! = 120 possibilities.

Step 3: Words beginning with N constitute 5! = 120 possibilities.

Step 4: Words beginning with PA constitute 4! = 24 possibilities.

Step 5: Words beginning with PK constitute 4! = 24 possibilities.

Step 6: Words beginning with PN constitute 4! = 24 possibilities.

Step 7: Words beginning with PRKA constitute 3! = 6 possibilities.

Step 8: PRKAN is identified as the 439th word.

Step 9: PRKAUN is identified as the 440th word.