JEE Mains · Maths · STD 11 - 6. permutation and combination
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 \(315^{\text {th }}\) position in this arrangement is :
- A \(NRAGUP\)
- B \(NRAGPU\)
- C \(NRAPGU\)
- D \(NRAPUG\)
Answer & Solution
Correct Answer
(C) \(NRAPGU\)
Step-by-step Solution
Detailed explanation
NAGPUR Alphabetical order: A, G, N, P, R, U \(A \rightarrow 5!=120\) \(G \rightarrow 5!=120 \quad(\text {total }=240)\) \(N A \rightarrow 4!=24 \quad(\text {total }=264)\) \(N G \rightarrow 4!=24 \quad(\text {total }=288)\) \(N P \rightarrow 4!=24 \quad(\text {total }=312)\)…
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