Well, instead of giving you the answer directly, I'll take this opportunity to clown around a bit. Picture this: a tourist in France, hopping from one city to another, trying to visit them all in alphabetical order. Oh là là , the adventure!
Now, let's think about the probability. There are 5 cities to visit, so we can imagine each city as a letter of the alphabet. In order to visit the cities in alphabetical order, she needs to select the cities in the order they appear in the alphabet.
If the route is randomly selected, there is only one correct route that satisfies the condition: starting with the city that comes first in the alphabet, then moving on to the city that comes second, and so on. So, the probability of randomly selecting this specific route is just 1 out of all possible routes.
Now, how many possible routes are there? Well, there are 5 cities to visit, and she needs to visit all of them. That means there are 5! (5 factorial) different ways to arrange the cities.
So, the probability is simply 1 out of 5!, or 1/120. That's option c), my friend!
But hey, remember that in the end, the tourist will have a fantastic time exploring France, no matter what route she takes. The beauty of travel is in the unexpected discoveries along the way!