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A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 50 states.
What is the probability that she selects the route of three specific​ capitals? ​
P(she selects the route of three specific ​capitals)= (Type an integer or a simplified​ fraction.)
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If the order of cities does not matter, then the probability is the value
reciprocal to the number of triples of 50 cities
P= = .
If the order of cities does matter, then the probability is the value
reciprocal the the number of ordered triples
P = = .
The term "route", used in the post, assumes that the order does matter,
but common sense says me that an expected meaning in this problem is
"the order does not matter".
Had I formulate this problem, I would find/use another words to make the meaning clear and unambiguous.
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Post-solution note:
The instruction at the end of the post is written in anti-mathematical form.
The major goal of problems like this one is to teach and to inspire.
To meet these goals, the text must be written/edited ideally.