Question

All 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 a dictionary. What
will be the position of the word SACHIN in that sequence?
a. 436
b. 590
c. 601
d. 751

Answer 1

the name of sachin will be chnias as you want in the number sequence

Answer 2

The position of the word SACHIN in that sequence will be option  c) 601

Explanation :

If the word started with the letter A then the remaining 5 positions can be filled in  5! Ways

Hence words starting with A = 5! = 120

Next, If the word started with the letter C then the remaining 5 positions can be filled in  5! Ways

Hence words starting with C = 5! = 120

Similarly ,

words starting with H, I, N are also 5! = 120

Hence number of words before the words starting with S can appear,

= 120 + 120 + 120 + 120 + 120

= 600

Next when words starting with S appears, SACHIN itself will be the 1st word as ACHIN are all in dictionary order,

Hence the position of the word SACHIN in that sequence will be  option    c) 601