There are 312 students in the senior class. Four of the students will be chosen to be the President, Vice-President, Secretary, and Treasurer of the class. How many different ways can this happen?

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement