Sammy has a rectangular doormat on her porch. The mat is \dfrac45\text{ m} 5 4 mstart fraction, 4, divided by, 5, end fraction
, start text, space, m, end text long and \dfrac12\text{ m} 2 1 mstart fraction, 1, divided by, 2, end fraction, start text, space, m, end text wide. What is the area of the doormat?
For the first movie he has 6 choices, then for the second since he has chosen the first there are only 5 left, then for the third there are only 4 choices left and so on.
Therefore the answer is 6!=6*5*4*3*2=720 orderings