ALGEBRAIC
A,A,E,I,L,G,B,R,C
The fact that there are specific positions for the vowels means nothing. It just means that there are 4 places for vowels to be.
there are 4*3*2*1 ways the vowels can be set out, and 5*4*3*2*1 ways the remaining letters can be put out. There are also 2 A's...