Question 146039
As soon as we realize how permutations work, this problem is actually quite simple.  We have 12 items to work with, and because arrangement DOES matter, we know that we must use permutation.


All this is is 
12!


Which basically means
12 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1


so we now know that there are 479001600 different ways that the 12 members can be seated.