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When six basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical​ order? Assume each player has a different name.

 Sep 12, 2016
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When six basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical​ order? Assume each player has a different name

 

There are 6! ways to order 6 people.  Only one of those will be in order A to z

 

so the probability is     1/6!    =    1 / 720

 Sep 12, 2016

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