\textbf{104-} From each of 6 regions of the country, 15 students are invited to a cultural center. In how many ways can 3 students be selected from among them such that no two of them are from the same region?
\begin{itemize}
\item[(1)] $\Delta7600$
\item[(2)] $67\Delta00$
\item[(3)] $7\Delta600$
\item[(4)] $76\Delta00$
\end{itemize}