If the letters of the word LITTLE are permuted and all possible words so formed are arranged as in a dictionary with serial numbers, then the serial number of the word LITTLE is

Step-by-step solution

The letters of the word LITTLE in alphabetical order are E, I, L, L, T, T. Number of words starting with E = 5! 2!2! = 30 Number of words starting with I = 5! 2!2! = 30 Total words so far = 60 The word LITTLE starts with L. The remaining letters are E, I, L, T, T. Number of words starting with LE = 4! 2! = 12 (Total = 72 ) The word LITTLE starts with LI. The remaining letters are E, L, T, T. Number of words starting with LIE = 3! 2! = 3 (Total = 75 ) Number of words starting with LIL = 3! 2! = 3 (Total = 78 ) The w