Question 516081
There are 4 vowels. The permutations of 4 things
taken 2 at a time is {{{ 4*3 = 12 }}}
There are 12 ways to put vowels at the ends
That leaves 6 other letters in the
8 letter word  
The possible permutations 
are {{{ 6*5*4*3*2*1 = 720 }}}
The possible arrangements of these 2 groups is
{{{ 12*720 = 8640 }}}
Hope I got it