Roses 2

Aunt Rose went to the flower shop to buy three rose bouquets. The flower shop had white, yellow, and red roses. How many different flowers bouquets can a flower make for Aunt Rose create? Write all the bouquet options.

Correct answer:

x =  10

Step-by-step explanation:

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

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