10 ways to pick the first guy in line. For each of those ways, 9 ways to pick the 2nd guy, hence 10 times 9 = 90 ways to pick the first two guys. For each of those 90 ways, 8 ways to pick the third guy, so 720 ways to pick the first three guys. And so on...
Hence:
John
My calculator said it, I believe it, that settles it