Verified Solution • 2025–26 Session moderate

QJEEM24Mabd94: JEE Main 2024 Mathematics - Class 11 JEEM24Mabd94 Solution: If all the words with or without meaning made using all the…

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

Multiple Choice Options

  • A NRAPUG
  • B NRAGUP
  • C NRAPGU
  • D NRAGPU

Step-by-Step Verified Solution

NAGPUR

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

amp; A...... =5!=120amp; G....... =5!=120amp; NA..... =4!=24amp; NG..... =4!=24amp; NP..... =4!=24\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

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

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

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

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