If all the words with or without meaning made using all the letters of the word "NAGPUR" a…

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 $$315^{\text {th }}$$ position in this arrangement is :

Accepted Answer

NAGPUR

Word at $$315^{\text {th }}$$ position

$$\begin{aligned}
& \text { A...... }=5!=120 \
& \text { G....... }=5!=120 \
& \text { NA..... }=4!=24 \
& \text { NG..... }=4!=24 \
& \text { NP..... }=4!=24
\end{aligned}$$

..... Till 312 words

$$313^{\text {th }} \text { word }=\text { NRAGPU }$$

$$314^{\text {th }}$$ word $=$ $$\mathrm{NRAGUP}$$

$$315^{\text {th }} \text { word }=\text { NRAPGU }$$

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