Raspberries 66824

Klára wants to make a fruit cocktail from three types of fruit. It has pineapple, pears, bananas, raspberries, and cherries. How many different cocktails can he create?

Correct answer:

n =  10

Step-by-step explanation:

$$\begin{gathered} C_3(5)=\left(\genfrac{}{}{0ex}{}{5}{3}\right)=\frac{5!}{3!(5-3)!}=\frac{5\cdot 4}{2\cdot 1}=10 \\ n=5=10 \\ k=3 \\ x=\left(\genfrac{}{}{0ex}{}{n}{k}\right)=10 \end{gathered}$$

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