Q:

A tourist in ireland wants to visit seven different cities. if the route is randomly selected, what is the probability that the tourist will visit the cities in alphabetical order? round your answer to five decimal places.

Accepted Solution

A:
we have that
n----------> number of cities
the probability that the tourist will visit the cities in alphabetical order is (1/n!)

P=(1/n!)
n!-------------> (7*6*5*4*3*2*1)=5040
therefore
1/5040=0.000198-----------> (five decimal places)--------> 0.00020  (0.020%)

the answer is 0.00020  (0.020%)