The answer is 7! = 7*6*5*4*3*2*1 = 5040
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3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
25
If you keep them in a line, there are 24 ways to line them up. Then of course there are squares, diamonds, rectangles, parallelograms, stacks, etc.
I'm pretty sure you can just do 8! which is 40320 different ways.
5!