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A certain number of friends are waiting in line to board a new rollercoaster they can board the ride in 5040 different ways. How many friends are in line?

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[tex]1!=1=1\\2!=2*1=2\\3!=3*2*1=6\\4!=4*3*2*1=24\\5!=5*4*3*2*1=120\\6!=6*5*4*3*2*1=720\\7!=7*6*5*4*3*2*1=5040[/tex]

7 friends.

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