Question

if the letters of the word 's h w e t a' are written in all possible ways and then are arranged as in a dictionary then the rank of the word 's h w e t a' is

Answer 1

Given word is shweta.

Arrange the words according to alphabetical order.

= > a = 1

= > e = 2

= > h = 3

= > s = 4

= > t = 5

= > w = 6.

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Now,

Given word is s w e t h a.

(i) In the given word, the 1st letter is s.

= > Its number is 4. On the right hand side, we have 3 numbers less than 4(1,2,3) = 3.

(ii) the 2nd letter is h.

= > Its number is 3. On the right hand side,we have 2 numbers less than 3(1,2) = 2.

(iii) the 3rd letter is w.

= > its number is 6. On the right hand side, we have 3 numbers less than 6(2,5,1) = 3.

(iv) the 4th letter is e.

= > Its number is 2. On the right hand side, we have 1 number less than 4(1) = 1.

(v) the 5th letter is t.

= > Its number is 5. On the right hand side, we have 1 number less than 5(1) = 1.

(vi) the 6th letter is a.

= > As it has no numbers on its right side. therefore, it will be 0.

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Now,

From the right side, multiply with 0! to 5!.

= > 0 * 0! = 0

= > 1 * 1! = 1

= > 1 * 2! = 2

= > 3 * 3! = 18

= > 2 * 4! = 48

= > 3 * 5! = 360

Now,

= > 0 + 1 + 2 + 18 + 48 +360

= > 429.

Add 1 to it.

= > Therefore, the rank of word shweta is 430.

Hope this helps!