No of words beginning with a ... 4! beginning with e ... 4! beginning with ga ... 3! beginning with ge ... 3! beginning with gra ... 2!
And finally great ... 1
Rank = 2*(4!+3!)+2!+1.
"It does not do to dwell on dreams and forget to live, remember that." ~Albus Dumbledore, Sorcerer's Stone.
"It is our choices, Harry, that show what we are, far more than our abilities." ~Albus Dumbledore, Chamber of Secrets.
"Understanding is the first step to acceptance, and only with acceptance can there be recovery." ~Albus Dumbledore, Goblet of Fire.
"Do not pity the dead Harry, pity the living, and above all, those who live without love." ~Albus Dumbledore, Half Blood Prince.