Question

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

Answer 1

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 \[10!=3,628,800\]

Answer 2

woops

Answer 3

Does 10! mean the factors of 10?

Answer 4

thanks alll

Answer 5

\(n!\) is called the factorial of \(n\). \[n!=n \cdot (n-1) \cdot (n-2) \cdot \;\;.... \;\;\cdot 3 \cdot 2 \cdot 1\]So \(1!=1\), \(2!=2\), \(3!=6\), \(4!=24\), \(...\)

Answer 6

Thank you @KingGeorge

Answer 7

You're welcome.