destinycrystal6000 destinycrystal6000

05-07-2018
Mathematics

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There are 8 runners in a race. What is the probability that Abby, Becca, and Carmen place first, second, and third in any order?

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konrad509 konrad509

05-07-2018

[tex]|\Omega|=8!\\ |A|=3!\cdot5!\\\\ P(A)=\dfrac{3!5!}{8!}=\dfrac{2\cdot3}{6\cdot7\cdot8}=\dfrac{1}{56}\approx1,8\%[/tex]

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