Permutations & Combinations
Dictionary Position of Word — NAGPUR
nta_pyq_2024_apr
Grade 11

Question:

If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then the word at 315th position in this arrangement is:
NRAGUP
NRAPUG
NRAPGU
NRAGPU

Step-by-Step Solution

Key Concept: Letters of NAGPUR in alphabetical order: A, G, N, P, R, U. Count words position by position.
After A(120), G(120), NA(24), NG(24), NP(24): total 312. NRAGPU=313, NRAGUP=314, NRAPGU=315.
Correct Answer: 3

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