Multiple choice

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?

  1. $436$
  2. $590$
  3. $601$
  4. $751$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Alphabetical order: A, C, H, I, N, S. Words starting with A: 5! = 120. C: 120. H: 120. I: 120. N: 120. Total = 600. The next word is SACHIN, which is 601.

AI explanation

To find the dictionary position of SACHIN, we add up the words that can be formed with the letters preceding S. Using the 6 available distinct letters, the number of words starting with A, C, H, I, or N is 5 times 5!, which equals 600. The very next word alphabetically is SACHIN itself. Therefore, its position is 600 plus 1, which equals 601.

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