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
- ANAAGI
- BNAAIG
- CIAAGN
- 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 '.