91Ó°ÊÓ

The presidential candidate is visiting fivecapitals of the 50 states of the United States as a part of her campaign.

The probability that the order will be from Sacramento to Albany to Juneau to Hartford to Bismarck is to be computed.

Permutation: The formula of permutation is used to compute the number of ways in which r units can be selected from n units without replacement in a particular order.

The formula is as follows:

${}^n{P}_r=\frac{n!}{\left(n-r\right)!}$

The total number of ways in which five capitals can be selected from 50 states (when order matters) is computed below:

$$\begin{gathered} {}^{50}{P}_5=\frac{50!}{\left(50-5\right)!} \\ =\frac{50!}{45!} \\ =254251200 \end{gathered}$$

The number of favorable ways in which the given order of cities is followed is one.

The probability of visiting the cities in the given order is computed below:

$P\left(A\right)=\frac{1}{254251200}$

Therefore, the probability that the mentioned route in the order Sacramento, Albany, Juneau, Hartford, and Bismarck is $\frac{1}{254251200}$.