All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is

Step-by-step solution

The given word is PUBLIC Arranging the letters alphabetically, we get BCILPU When the word starts with any of the letters B/C/I/L, the number of possibilities = 5 ! × 4 = 480 Now when the word starts with PB, then the number of possibilities = 4 ! = 24 Now when the word starts with PC, then the number of possibilities = 4 ! = 24 Now when the word starts with PI, then the number of possibilities = 4 ! = 24 Now when the word starts with PL, then the number of possibilities = 4 ! = 24 Now when the word starts wit