Question

Using the word '$\text{AEROPLANE}$', different words are formed and are put in the dictionary order, then what will be the ${50}^{\text{th}}$ word?

• A. $\text{AAELENOPR}$
• B. $\text{AALEENORP}$
• C. $\text{AAEELNORP}$
• D. $\text{AALEENPOR}$

Answer 1

The correct option is B $\text{AALEENORP}$

First word will be ${}^{\prime }{\text{AAEELNOPR}}^{\prime }$
rearranging the last $4$ letters we have $4!=24$ words
Then ${25}^{\text{th}}$ word will be ${}^{\prime }{\text{AAELENOPR}}^{\prime }$
again rearranging the last $4$ letters we have $4!=24$ words
${49}^{\text{th}}$ word will be ${}^{\prime }{\text{AALEENOPR}}^{\prime }$
So ${50}^{\text{th}}$ word will be ${}^{\prime }{\text{AALEENORP}}^{\prime }$