# A tourist in France wants to visit 10 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?

##### 1 Answer

#### Explanation:

We have 10 different cities that can be ordered in different ways. We are looking for the probability of selecting one order in particular - alphabetical. And so the probability will be:

So how many permutations are there of 10 cities?

Remember that the permutation calculation for a n, population and k, number selected from that population is:

which gives the probability of doing a random tour of 10 cities in alphabetical order as:

Let's put this a different way - the population of Connecticut in 2013 was just under

http://www.enchantedlearning.com/usa/states/population.shtml