All the letters of the word G T W E N T Y are written in all possible ways with or without meaning and these words are written as in a dictionary. The serial number of the word G T W E N T Y IS

Step-by-step solution

We have to find the rank of word G T W E N T Y . Words starting from E = 6 ! 2 ! = 720 2 = 360 Words starting with G E = 5 ! 2 = 60 Words starting with G N = 5 ! 2 = 60 Words starting with G T E = 4 ! = 24 Words starting with G T N = 4 ! = 24 Words starting with G T T = 4 ! = 24 Then the next word will be G T W E N T Y and its rank will be 360 + 60 + 60 + 24 + 24 + 24 + 1 = 553