Sure. I didn't post it because I didn't want someone to look at my reasoning and make a bias decision on the outcome of the answer
Case 1: If the first letter is A to D
1. Choose the first letter, A to D .... 4 ways
2. Choose a second letter .... 25 ways (A-D cannot be used)
3. Choose a third letter .... 24 ways (A-D + second letter cannot be used)
Case 2:If the the first letter is E
1. Choose the first letter to be E ... 1 way
2. Choose the second letter to be between A-F ... 5 ways (cannot pick E)
3. Choose a third letter ... 24 ways (cannot pick E or second letter)
Case 3:If the first letter is E and the second letter is G
1. Choose the first letter to be E ... 1 way
2. Choose the second letter to be G ... 1 way
3. Choose the third letter to be between A-F ... 5 ways (cannot pick E)
Adding together all 3 cases I get (4x25x24) + (5x24) + (5) = 2525
EDIT: Also I would be thankful if anyone could help me on my related
post.