87,178,291,200 ways.
That is factorial 14 or expressed as 14! = 14*13*12*10*9*8*7*6*5*4*3*2*1
With just 4 people there are 4*3*2*1 = 24 ways
With 5 people there are 5*4*3*2*1 = 120 ways
etc.etc.
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There are 24 ways to arrange 4 people in a row.
40320
7! = 5040 ways.
8 ways
6! = 6 factorial = 1x2x3x4x5x6 = 720