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what is 30!/27!3!

 Feb 25, 2016

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 #2
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what is 30!/27!3!

 

\(\begin{array}{rcll} \dbinom{30}{3} &=& \frac{30}{3} \cdot \frac{29}{2} \cdot \frac{28}{1} \\ &=& 10 \cdot \frac{29}{2} \cdot \frac{28}{1} \\ &=& 10 \cdot \frac{29}{1} \cdot \frac{28}{2} \\ &=& 10 \cdot 29 \cdot 14 \\ &=& 290 \cdot 14\\ &=& 4060 \end{array}\)

 

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 Feb 26, 2016
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4,060

 Feb 25, 2016
 #2
avatar+26387 
+10
Best Answer

what is 30!/27!3!

 

\(\begin{array}{rcll} \dbinom{30}{3} &=& \frac{30}{3} \cdot \frac{29}{2} \cdot \frac{28}{1} \\ &=& 10 \cdot \frac{29}{2} \cdot \frac{28}{1} \\ &=& 10 \cdot \frac{29}{1} \cdot \frac{28}{2} \\ &=& 10 \cdot 29 \cdot 14 \\ &=& 290 \cdot 14\\ &=& 4060 \end{array}\)

 

laugh

heureka Feb 26, 2016

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