1.
For this, you'll use factorials.
So, to find the possible orders, you have to do 6!. This is the same as 6*5*4*3*2*1.
6! = 720
So, the answer is 720.
2.
You can actually do this on the calculator as well! Use nPr(n, r). n is the number on the left side, and r is on the right.
nPr(9, 5) = 15,120
So your answer is 15,120.
Hope this helped!