If all the seven letters of the word LEADING are permuted in all possible ways and the words thus formed are arranged as in the dictionary order, then the word in 2017 th  place is

Step-by-step solution

First we will arrange the letters of the word LEADING in the alphabetical order. A,  D,  E,  G,  I,  L,  N Number of words staring with letter A = 6 ! = 720 Number of words staring with letter D = 6 ! = 720 Number of words staring with letter E = 6 ! = 720 Total words are 720 + 720 + 720 = 2160 > 2017 . Hence, the required word will start from the letter E and before E we have total 720 + 720 = 1440 words. Now, Number of words staring with letters EA =