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45!/(45-5)!5!

Guest Feb 20, 2017

#3
+18377
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45!/(45-5)!5!

$$\begin{array}{|rcll|} \hline && \frac{45!}{(45-5)!5!} \\ &=& \dbinom{45}{5} \\ &=& \frac{45}{5}\cdot \frac{44}{4}\cdot \frac{43}{3}\cdot \frac{42}{2}\cdot \frac{41}{1} \\ &=& \frac{45}{15}\cdot \frac{44}{4}\cdot 43\cdot \frac{42}{2}\cdot \frac{41}{1} \\ &=& 3\cdot 11\cdot 43\cdot 21\cdot 41 \\ &=& \mathbf{1221759} \\ \hline \end{array}$$

heureka  Feb 21, 2017
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#1
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5.625

Guest Feb 20, 2017
#2
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45!/(45-5)!5!=[45 x 44 x 43 x 42 x 41] / [5 x 4 x 3 x 2 x 1] =1,221,759.

Guest Feb 20, 2017
#3
+18377
+15

45!/(45-5)!5!

$$\begin{array}{|rcll|} \hline && \frac{45!}{(45-5)!5!} \\ &=& \dbinom{45}{5} \\ &=& \frac{45}{5}\cdot \frac{44}{4}\cdot \frac{43}{3}\cdot \frac{42}{2}\cdot \frac{41}{1} \\ &=& \frac{45}{15}\cdot \frac{44}{4}\cdot 43\cdot \frac{42}{2}\cdot \frac{41}{1} \\ &=& 3\cdot 11\cdot 43\cdot 21\cdot 41 \\ &=& \mathbf{1221759} \\ \hline \end{array}$$

heureka  Feb 21, 2017

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