Fruits

In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?

Correct result:

x =  20

Solution:

$$\begin{gathered} C_3(6)=\left({\displaystyle \genfrac{}{}{0px}{}{6}{3}}\right)={\displaystyle \frac{6!}{3!(6-3)!}}={\displaystyle \frac{6\cdot 5\cdot 4}{3\cdot 2\cdot 1}}=20 \\ n=4 \\ k=3 \\ x=\left(\genfrac{}{}{0px}{}{n+k-1}{k}\right)=\left(\genfrac{}{}{0px}{}{4+3-1}{3}\right)=20 \end{gathered}$$

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