In a class of 200 students, 125 students have taken the Programming Language…
2004
In a class of 200 students, 125 students have taken the Programming Language course, 85 students have taken the Data Structures course, and 65 students have taken the Computer Organization course.
Also, 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization, 30 students have taken both Programming Language and Computer Organization, and 15 students have taken all three courses.
How many students have not taken any of the three courses?
- A.
15
- B.
20
- C.
25
- D.
35
Attempted by 220 students.
Show answer & explanation
Correct answer: C
Interpretation of the given data:
Programming Language = 125
Data Structures = 85
Computer Organization = 65
Programming Language and Data Structures = 50
Data Structures and Computer Organization = 35
Programming Language and Computer Organization = 30
All three courses = 15
Using inclusion-exclusion, the number of students taking at least one course is:
125 + 85 + 65 - (50 + 35 + 30) + 15
= 275 - 115 + 15
= 175
Therefore, the number of students who have not taken any of the three courses is:
200 - 175 = 25.
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