19-11-2017
Mathematics

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A sportswriter makes his pre-season picks for the top ten teams finish. If there are forty teams, how many different lists could there be?

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19-11-2017

[tex]\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad \begin{cases} n=40\\ r=10 \end{cases}\implies _{40}C_{10}=\cfrac{40!}{10!(40-10)!}[/tex]

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