There are $n$ songs segregated into $3$ playlists. Assume that each playlist has at least one song. For all $n$, the number of ways of choosing three songs consisting of one song from each playlist is:
- $>\frac{n^3}{27}$
- $\underline<\frac{n^3}{27}$
- $\begin{pmatrix} n\\3 \end{pmatrix}$
- $n^3$