Question

What is the rank of NARAYANA?

Answer 1

Given word is Narayana.

(1) we have to assign a numerical value to each according to their position in english alphabet.

N A R A Y A N A

2 1 3 1 4 1 2 1

(2) 4 numbers are less than 2 at its right hand side((1,1,1,1).

= > 4!/4! * 2!

(3) No numbers are less than 1 at its right hand side.

= > 0/4!

(4) 4 numbers are less than 3 at its right hand side(1,1,2,1).

= > 4/3!

(5) No numbers are less than 1 at its right hand side.

= > 0/3!

(6) 3 numbers are less than 4 at its right side(1,2,1)

= > 3/2!

(7) No numbers are less than 1 at its right side.

= > 0/2!

(8) 1 number is less than 2 at its right side.

= > 1/0!

(9) No numbers are less than 1 at its right side.

= > 0/0!

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Now,

Starting from right side, write 0!,1!,2!.......

= > 0/0! * (0!) = 0

= > 1/0! * (1!) = 1

= > 0/2! * (2!) = 0

= > 3/2! * (3!) = 9

= > 0/3! * (4!) = 0

= > 4/3! * (5!) = 80

= > 0/4! * (6!) = 0

= > 4/4!*2! * (7!) = 420.

Now,

= > 420 + 0 + 80 + 0 + 9 + 0 + 1 + 0

= > 510.

We need to add 1, because next word is narayana.

Therefore, the rank of narayana is 511.

Hope this helps!