A committee of students and teachers is being formed to study the issue of how much they all love math. Sixteen teachers and 35 students have expressed interest in serving on the committee. There must...

A committee of students and teachers is being formed to study the issue of how much they all love math.  Sixteen teachers and 35 students have expressed interest in serving on the committee.  There must be at least 2 teachers and at least 2 students on the committee. How many ways can a 6 person committee be chosen?