Random course schedule
Suppose Harry is a university student, and each class he attends only meets 1x per week. He is in the process of selecting his schedule, and is deciding between 30 classes (none overlap). There are 6 classes to choose from for each day of the week, Monday through Friday. Harry isn't sure which classes he's most interested in, so decides to randomize his semester schedule to get a variety of course offerings. He decides to register for 7 randomly selected classes out of the 30, with all choices equally likely. Given this information, what is the probability that he will have classes every day, Monday through Friday?
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