Answer:
P(she selects the route of four specific capitals) = 1 in 2,686,320 or 3.72 x 10⁻⁷
Step-by-step explanation:
Assuming that the order at which she visits each of the four cities matters, the number of possible routes is the permutation of choosing 4 out of 42 capitals:
[tex]n=\frac{42!}{(42-4)!}\\n=42*41*40*39\\n=2,686,320\ ways[/tex]
Therefore, the probability that she selects the route of four specific capitals is 1 in 2,686,320 or 3.72 x 10⁻⁷
