Question

The letters of the word SAND are written in all possible ways with or without meaning as written in a dictionary then find the rank of the word

1. 17
2. 19
3. 16
4. 18
5. 15

Answer 1

Correct Answer - Option 2 : 19

Given

4 letter word SAND is given

Calculation

The order of the alphabet of SAND is S, A, N and D

Number of words beginning with A = ³ C ₃

⇒ 3 !

Number of words beginning with D = ³ C ₃

⇒ 3!

Number of words beginning with N = ³ C ₃

⇒ 3 !

Now, the first word start with S is SAND

Hence, rank of the word SAND = 3! + 3! + 3! + 1

⇒ 6 + 6 + 6 + 1

⇒ 19