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100!/(95!5!) not working? (geometry with combinations) *nevermind, figured out what i was doing wrong*

 Aug 24, 2017
edited by Guest  Aug 24, 2017
 #1
avatar+100516 
+1

 

100! / [ 95! * 5! ] =

 

C( 100, 5)  = 75,287,520

 

 

cool cool cool

 Aug 24, 2017
 #2
avatar+22172 
+1

100!/(95!5!) not working? (geometry with combinations)

 

\(\begin{array}{|rcll|} \hline && \frac{100!} {95!5! } \\\\ &=& \frac{100}{5} \times \frac{99}{4} \times \frac{98}{3} \times \frac{97}{2} \times \frac{96}{1} \\\\ &=& \frac{100}{5} \times \frac{99}{3} \times \frac{98}{2} \times \frac{97}{1} \times \frac{96}{4} \\\\ &=& 20 \times 33 \times 49 \times 97 \times 24 \\\\ &=& 75287520 \\ \hline \end{array}\)

 

laugh

 Aug 24, 2017

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