Question: 4. Some five courses are offered on campus in a semester. The group of students who take at least one of these courses consists of

4. Some five courses are offered on campus in a semester.

4. Some five courses are offered on campus in a semester. The group of students who take at least one of these courses consists of 155 students. There are 80 students registered in each course. For any two among these courses, there are precisely 40 students who take both of them. For any three of these courses, there are precisely 20 students who take all three of them. For any four among these courses, there are precisely 10 students who take every one of these four courses. How many students in this group take every one among the five courses in this memorable semester

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