TITLE: How many Arrangement of "AMAZED" letter E Positioned between two A's (Not necessarily Flanked)
QUESTION [6 upvotes]: I considered 'AEA' as one letter so there are 4 letters which can be arranged in 4!=24 ways. But my sheet is telling its 120  How? Please HELP! & What is flanked meaning here?

REPLY [2 votes]: Total permutations for the word AMAZED = 6!/2! = 360.
Out of 360 total permutations, only 1/3rd will satisfy our condition where E is between 2 As.
That is because when you permute AEA (3 ways), only 1 permutation exists where E is between 2 As.
Thus, total arrangements = 360/3 = 120