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NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2015 · Mathematics · Permutation and Combination

If different words are formed with all the letters of the word...

If different words are formed with all the letters of the word 'AGAIN' and are arranged alphabetically among themselves as in a dictionary, the word at the 50th place will be

Options

  1. ANAAGI
  2. BNAAIG
  3. CIAAGN
  4. DIAANG

Correct answer

B. NAAIG

Step-by-step solution

First two words (according to dictionary)no. of words formAA ---3!=6AG---3!=6AI---3!=6AN ---3!=6GA---3!=6GI---3!/ 2!=3GN ---3!/ 2!=3IA---3!=6IG ---3!/ 2!=3IN---3!/ 2!=3NA---3!=6 it means 50th 50^{\text{th }} word will be starting with ' NAN A '.
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