If all the permutations of the letters of the word INDIAN are arranged in a dictionary, then the serial number of the word INDIAN is

Step-by-step solution

The letters of the word INDIAN in alphabetical order are A, D, I, I, N, N . Number of words starting with A = 5! 2!2! = 30 Number of words starting with D = 5! 2!2! = 30 Now we consider words starting with I . The remaining letters are A, D, I, N, N . Number of words starting with IA = 4! 2! = 12 Number of words starting with ID = 4! 2! = 12 Number of words starting with II = 4! 2! = 12 Now we consider words starting with IN . The remaining letters are A, D, I, N . Number of words starting with INA = 3! = 6 Now we