The number of combinations of teachers selected 4 at a time is 11C4.
The number of combinations of students selected 3 at a time is 41C3
The number of ways of selecting the committee of 7 is given by:
11!/4!7!×41!/3!38!
=11×10×9×8/4×3×2×1× 41×40×39/3×2×1
=506503200/144
=3517383
