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?
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