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Pick the first person in line 8 ways;
Pick the second person in line 7 ways;
Pick the third person in line 6 ways;
Pick the fourth person in line 5 ways;
Pick the fifth person in line 4 ways;
Pick the sixth person in line 3 ways;
Pick the seventh person in line 2 ways;
Pick the eighth person in line 1 way.
Total = 8×7×6×5×4×3×2×1 = 8! = 40320 ways.
Edwin
