Question

sally lives in city A and works for the department of transportation. she needs to inspect the weigh stations in each of nine cities other than city A. In how many ways can she reach each of these cities and return to her home in city A?

Answer 1

Sally is to inspect the stations in 9 cities.

The number of ways she can go to the 9 cities is 9!, that is the permutation of 9 distinct objects.

Hence, the number of ways is calculated to be:

$9!=9\times8\times7\times6\times5\times4\times3\times2\times1=362880$

Therefore, she can reach City A in 362,880 ways.