+0

# Testing Site

0
172
3
+394

Compute: 7Chose6

Mr.Owl  Oct 19, 2017

#2
+1807
+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
Sort:

#1
+1

7nCr6 =7

Guest Oct 19, 2017
#2
+1807
+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
+19076
+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

### 27 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details