Question
An economics student must choose 4 courses to attend in the forthcoming academic year. There are 8 courses offered by different lectures, as shown in
An economics student must choose 4 courses to attend in the forthcoming academic year. There are 8 courses offered by different lectures, as shown in the table below.
Lecturer Courses
Prof. V. Lowmark Microeconomics Macroeconomics Game theory
Prof. A. Greedman Banking Stock markets
Dr. T. Kantan Asian economics
Dr. I. Workmore Developing countries Labour economics
(a) In how many ways can he choose the courses?
(b) Prof. Lowmark is the head of the Economics Department, so the student thinks it may be a good idea to take his course. However, his exams are very difficult, so the student wants to take just one of his courses. Given this, in how many ways can he arrange his curriculum?
(c) Tired of thinking, the student decides to choose the courses just randomly. What is the probability to choose at least one course of Prof. Lowmark? At least two of his courses?
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