2020 · Q5
In a competitive examination, 250 students have registered. Out of these, 50 students have registered for Physics, 75 students for Mathematics and 35 students for both Mathematics and Physics. What is the number of students who have registered neither for Physics nor for Mathematics?
Elementary MathematicsSet Theory
- A90
- B100
- C150
- D160
Explanation
Students registered for Physics or Mathematics = 50 + 75 − 35 = 90 by inclusion–exclusion. Those registered for neither = 250 − 90 = 160. Checking: 90 + 160 = 250, which accounts for every registered student.