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10 people can line up in (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) = 3,628,800 different ways.
24 ways
24
5! (5 factorial), which is 1 x 2 x 3 x 4 x 5.
First place can be any of 6, second any of 5 etc. 6 x 5 x 4 x 3 x 2 = 720 different ways!