1. An intro Stats class has total of80 students:20 Psychology majors, 15 Sociology majors, 5 Math majors, 6 Comp Sci majors, 4 Econ majors, and 30 undeclared majors. The instructor wishes to obtain a random sample of 6 students from this class.

a. How many different samples are possible? (2 marks)

b. How many different samples of size 6 are possible subject to the constraint that no 2 students may share the same major? For the purpose of this question, assume undeclared is a type of major. (2 marks)

c. What is the probability that a random sample of 6 students from this class has no two students with the same major? (2 marks)