All the six letters of the name SACHIN are arranged to from different words without repeating any letter in any one word. The words so formed are then arranged as in a dictionary. What will be the Position of the world SACHIN in that sequence?

To find the position of the word SACHIN in a dictionary, we first list the letters in alphabetical order: A, C, H, I, N, S. Total letters are 6. We calculate how many words come before those starting with S. 1. Words starting with A: Fixing A at the first position, the remaining 5 letters can be arranged in 5! ways, which is 120. 2. Words starting with C: Similarly, 5! = 120 ways. 3. Words starting with H: Similarly, 5! = 120 ways. 4. Words starting with I: Similarly, 5! = 120 ways. 5. Words starting with N: Similarly, 5! = 120 ways. Total words starting with A, C, H, I, and N = 120 multiplied by 5 = 600. The next word in the dictionary will start with S. Alphabetically, the letters following S are A, C, H, I, N. This exactly spells SACHIN. Therefore, SACHIN is the very first word starting with S. The position of SACHIN is 600 + 1 = 601. The correct option is C.