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

Arranging the letters alphabetically: {A, K, N, P, R, U} 

Step 1: Words starting with A = 5! = 120

Step 2: Words starting with K = 5! = 120

Step 3: Words starting with N = 5! = 120

Step 4: Words starting with PA = 4! = 24

Step 5: Words starting with PK = 4! = 24

Step 6: Words starting with PN = 4! = 24

Step 7: Words starting with PRKA = 3! = 6

Step 8: PRKAN is the 439th word

Step 9: PRKAUN is the 440th word