\problemdata
{s01-ps7}
{counting}

\begin{problem} Your 6.042 tutorial has 12 students, who are supposed to break up into 4 groups of 3 students each. Your TA has observed that the students waste too much time trying to form balanced groups, so he decided to pre-assign students to groups and email the group assignments to his students.
\begin{problemparts}

\problempart {\bf 1 point} Your TA is the laziest person on the
planet. He has a list of the 12 students in front of him. How would
he form groups of 3?

\problempart {\bf 9 points} How many \emph{different} group
assignments are possible? (Clarification: There is no ``numbering" of
the groups. All that matters is who ends up with whom. Two group
assignments are different if they differ in at least one group.)

\end{problemparts}
\end{problem}
