Solve the problem.
-A tourist in France wants to visit 8 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?
A) $\frac { 1 } { 64 }$
B) $\frac { 1 } { 8 }$
C) $\frac { 1 } { 40,320 }$
D) 40,320

Question

Solve the problem.
-A tourist in France wants to visit 8 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order? 
A) $\frac { 1 } { 64 }$
B) $\frac { 1 } { 8 }$
C) $\frac { 1 } { 40,320 }$
D) 40,320

Quizplus · Accepted Answer

There is only one possible way to visit the cities in alphabetical order, so there is only one favorable outcome. The total number of possible routes is 8!, which is 40,320. So, the probability of visiting the cities in alphabetical order is 1/40,320.

Solve the Problem 164\frac { 1 } { 64 }641​ B) 18\frac { 1 } { 8 }81​

Solve the Problem $\frac { 1 } { 64 }$ B) $\frac { 1 } { 8 }$