1. Suppose we select a random sample of 3 numbers between 1 and 60, sampling without replacement.

1. How many samples of size 3 are possible? (2 marks)
2. What is the probability that the sum of the values in our sample is less than 10? (3 marks)

1. An intro Stats class has 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.

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

1. 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)
2. What is the probability that a random sample of 6 students from this class has no two students with the same major? (2 marks)