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# Testing Site

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Compute: 7Chose6

Mr.Owl  Oct 19, 2017

#2
+2190
+2

$${x \choose y}=\frac{x!}{y!(x-y)!}$$

Knowing this formula will allow you to compute any input for the choose function. Now, let's compute the result.

 $${7 \choose 6}=\frac{7!}{6!*(7-6)!}$$ Let's simplify the denominator first. $$\frac{7!}{6!*(7-6)!}=\frac{7!}{6!}$$ In order to simplify this, let's think about it this way... $$\frac{7!}{6!}=\frac{7*6*5*...*1}{\hspace{3mm}6*5*...*1}$$ There is a lot that will cancel here. $$7$$
TheXSquaredFactor  Oct 19, 2017
#1
+1

7nCr6 =7

Guest Oct 19, 2017
#2
+2190
+2

$${x \choose y}=\frac{x!}{y!(x-y)!}$$

Knowing this formula will allow you to compute any input for the choose function. Now, let's compute the result.

 $${7 \choose 6}=\frac{7!}{6!*(7-6)!}$$ Let's simplify the denominator first. $$\frac{7!}{6!*(7-6)!}=\frac{7!}{6!}$$ In order to simplify this, let's think about it this way... $$\frac{7!}{6!}=\frac{7*6*5*...*1}{\hspace{3mm}6*5*...*1}$$ There is a lot that will cancel here. $$7$$
TheXSquaredFactor  Oct 19, 2017
#3
+20008
+1

Compute: 7Chose6

$$\begin{array}{|rcll|} \hline && \mathbf{\binom{7}{6}} \\\\ &=& \binom{7}{7-6} \\\\ &=& \binom{7}{1} \\\\ &=& \dfrac{7}{1} \\\\ &\mathbf{=}&\mathbf{ 7 } \\ \hline \end{array}$$

heureka  Oct 20, 2017