Question 500395
Hey,
So for this problem we need to figure out how many combinations of letters there can be. 
There are 8 possible letters in the first letter spot, 7 for the second letter spot, 6 for the 3 letter spot, 5 for the 4 letter spot, 4 for the 5 letter spot, 3 for the 6 letter spot, 2 for the 7 letter spot and lastly 1 for the 8 letter spot:
__ x __ x __ x __ x __ x __ x __ x __ => 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320 possible way to arrange the letters in MINIMUMS.
I hope this helps!