An intro Stats class has a total of 80 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? 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. C. What is the probability that a random sample of 6 students from this class has no two students with the same major? can you hand write the solution?

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