Your math class has 33 students in the class. a. On Monday the students must choose one of 4 activities, b. on Tuesday the students must choose one of 4 different activities, and c. On Wednesday the students must choose one of 2 different activities. Each day the activities are different. If each student must choose one activity per day, can each student in your class choose a different set of activities? a. How many possible sets of activities are there? Show your work in the space provided. b. Is it possible for every student to have a different set of activities? c. What does the Pigeonhole Principle tell us about the students?

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