In these trying times, I’m thinking about starting my own school – the Redman Academy. The...

In these trying times, I’m thinking about starting my own school – the Redman Academy. The school day will consist of 3 periods each day and the school will offer 10 different courses. Each student enrolls in 3 courses per semester and each course is taught during every period (i.e., each course is taught 3 times per day). Students pick classes and but are assigned a period. Courses have no prerequisites

a) As a new student, how many different lists of three courses could you submit to the registrar?

b) You and your best friend choose the same three courses. What is the probability that you have the exact same schedule (i.e., you are assigned the same periods for each of the three classes.)?

c) Your lazy friend randomly selected 3 courses and is relying on you for copies of class notes. What is the probability that you and your lazy friend share 2 of the same courses (they don’t necessarily have to be the exact same period)?

d) Still considering the last problem with your lazy friend, what is the probability that you share no classes?

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Expert Solution

orchestra answered 1 year ago

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