Rank of a word

Question

A few days back i had posted a question if it is possible to find the rank of a word. Many gave me answers and some even codes, but i just couldnt accept that basically means i am copying their codes. Which is why I tried my own way, but unfortunately it isnt working. I have briefed my problem as much as possible, so please could someone help me out with this one? Below you will find how to find the rank of a word, and my code as well, and i have added single line comments to explain why i have added that part of the code. The out put is displaying only 1. which means the whole rank function(of my program) isnt working.

What is Rank?

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EX, factorial of 5 is , 5! = 5 x 4 x 3x 2 x 1 =120,
Now the question would be find the dictionary rank of the word LIFT
ANS
First of all arrange in alphabetical order, F I L T
Now no of words beginning with F (I,L,T) - 3! = 6
no of words beginning with I (F,L,T) - 3! = 6
since L is the first letter of the word whose rank is what we are concerned L is locked and the our second unknown letter will be F
L x x x
No of words beginning with F = 2! = 2
I is the second letter of the word whose rank is what we are concerned so I is also locked
L I x x
if proceed in the original order the subsequent letter is F, so lock F
L I F x
Next letter finally turns out to be T
L I F T.
so add total = 6 + 6+ 2 = 14
as lift is also a word we need to consider that too
14 + 1 = 15.
Rank of lift is 15.

Using the same method i have written a code.
so Here it is:
https://code.sololearn.com/cpsCsyYGhGSu/#cpp