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  • Need explanation for: If all permutations of the letters of the word 'AGAIN' are arranged as in dictionary, then fiftieth word is:

If all permutations of the letters of the word 'AGAIN' are arranged as in dictionary, then fiftieth word is:

  • Option 1)

    NAAGI

  • Option 2)

    NAGAI

  • Option 3)

    NAAIG

  • Option 4)

    NAIAG

 

Answers (1)

best_answer

As we learnt in 

Rank of any Word -

We arrange the words according to dictionary.

Eq. for SUNIL 

      Rank is 95

- wherein

    I\rightarrow4!=24

    L\rightarrow4!=24

    N\rightarrow4!=24

    SI\rightarrow3!=6

    SL\rightarrow3!=6

    SN\rightarrow3!=6

    SUI\rightarrow2!=2

    SUL\rightarrow2!=2

SUNIL =1=\frac{1}{95}

                                  

 

 50th word of 'AGAIN'

Starting with A-                     A-> 4!=24

Starting with G-                     G-> 4!/2! =12

Starting with I-                     A-> 4!/2!   =12

Starting with N  NAAGI and then NAAIG is 50th word

 

 

 


Option 1)

NAAGI

Incorrect

Option 2)

NAGAI

Incorrect

Option 3)

NAAIG

Correct

Option 4)

NAIAG

Incorrect

Posted by

prateek

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