10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800ways
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36
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
I'm pretty sure you can just do 8! which is 40320 different ways.
24 ways
In a line, in 6 ways. Around a table, in 2 ways.