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NDA2015MathematicsPermutation and CombinationActual

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

array |c|c| First two words (according to dictionary) & no. of words form AA --- & 3!=6 AG--- & 3!=6 AI--- & 3!=6 AN --- & 3!=6 GA--- & 3!=6 GI--- & 3!/ 2!=3 GN --- & 3!/ 2!=3 IA--- & 3!=6 IG --- & 3!/ 2!=3 IN--- & 3!/ 2!=3 NA--- & 3!=6 array it means 50^ th word will be starting with ' N A '.

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