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There are 8 streets to be named after 8 tree types. Ash, Birch, Elm, Fir, Maple, Pine, Spruce, and Willow.  A city planner randomly selects the street names from the list of 8 tree types.  Compute the probability of each of the following events.

Event A: The first three streets are Ash, Elm, and Pine, without regard to order.

Event B: The first street is Willow, followed by Spruce and then Fir.

 Mar 1, 2020
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A) There are 3! orderings of the first 3 streets and then 5! ways to arrange the rest of themThere are a total of 8! orderings of the streetsp=3!5!8!=6336=156

 

B) Now there is only 1 ordering of the first 3 streets, and then 5! orderings of the restp=5!8!=1336

 Mar 1, 2020

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