Answer: The probability that they will visit the cities in alphabetical order is
[tex]\frac{1}{5040}[/tex]
Step-by-step explanation:
Since we have given that
Number of different cities a tourist in France wants to visit = 7
According to question, if the route is randomly selected ,
Probability that they will visit the cities in alphabetical order is given by
[tex]\frac{1}{7!}\\\\=\frac{1}{7\times 6\times 5\times 4\times 3\times 2\times 1}\\\\=\frac{1}{5040}[/tex]
so, the probability that they will visit the cities in alphabetical order is
[tex]\frac{1}{5040}[/tex]
