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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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