Question

All the six letters of the name SACHIN are arranged to form 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 word SACHIN in that sequence? 

(a) 436 (b) 590 (c) 601 (d) 751

Answer 1

(c) Out of the given letters in the word SACHIN, S is the last letter in the alphabetical order to start a word. If the word starts with A, then A can be kept fixed and the remaining letters can be arranged in 5! ways. 

Similarly, number of words starting with C = 5! 

Number of words starting with H = 5! 

Number of words starting with I = 5! 

Number of words starting with N = 5! 

Now, when the word starts with S, 

then SACHIN is the first word in the alphabetical order to follow up. 

So, Position of the word SACHIN = 5 (5!) + 1 = 601