Possibilities 81788

The ring consists of 4 beads. There are 5 different colors of beads in the package. How many possibilities are there to create one ring, and can the colors repeat?

Correct answer:

N =  56

Step-by-step explanation:

$$\begin{gathered} C_5(8)=\left(\genfrac{}{}{0ex}{}{8}{5}\right)=\frac{8!}{5!(8-5)!}=\frac{8\cdot 7\cdot 6}{3\cdot 2\cdot 1}=56 \\ n=4 \\ k=5 \\ N=\left(\genfrac{}{}{0ex}{}{n+k-1}{k}\right)=\left(\genfrac{}{}{0ex}{}{4+5-1}{5}\right)=56 \end{gathered}$$

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