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StatisticsQ&A LibraryScheduling Routes A presidential candidate plans to begin her campaign by visiting the capitals of 5 of the 50 states. If the five capitals are randomly selected without replacement, what is the probability that the route is Sacramento, Albany, Juneau, Hartford, and Bismarck, in that order?Question

Asked Jan 11, 2020

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Scheduling Routes A presidential candidate plans to begin her campaign by visiting the capitals of 5 of the 50 states. If the five capitals are randomly selected without replacement, what is the probability that the route is Sacramento, Albany, Juneau, Hartford, and Bismarck, in that order?

Step 1

*Permutations Rule:*

There are *n *different items and *r *number of selections and the selections are made without replacement, then the number of different permutations (order counts) is given by

Step 2

Here, total number of states, n=50 and number of randomly selected capitals, r=5. Also, the selections are made without replacement.

Substitute 50 for *n* and 5 for *r*, then the number of different possible arrangements is

Step 3

Let event *A* be denote that selecting the route in the order Sacramento, Albany, Juneau, Har...

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