anonymous
  • anonymous
Lori Bray drives a parcel delivery truck. Her usual route consists of 10 stops. How many ways can Lori travel to these stops and return to her warehouse? A. 90 B. 3,628,800 C. 362,880 D. 10
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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KingGeorge
  • KingGeorge
She can stop at 10 places first. Then, since she's already been to one stop she can stop at 9 places after that. Then 8, 7, 6, 5, 4, 3, 2, 1 stops. So the number of ways she can travel to these stops is given by \[10!=10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1\] If you calculate this number, you get \[10!=3,628,800\]
anonymous
  • anonymous
woops
anonymous
  • anonymous
Does 10! mean the factors of 10?

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anonymous
  • anonymous
thanks alll
KingGeorge
  • KingGeorge
\(n!\) is called the factorial of \(n\). \[n!=n \cdot (n-1) \cdot (n-2) \cdot \;\;.... \;\;\cdot 3 \cdot 2 \cdot 1\]So \(1!=1\), \(2!=2\), \(3!=6\), \(4!=24\), \(...\)
anonymous
  • anonymous
Thank you @KingGeorge
KingGeorge
  • KingGeorge
You're welcome.

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