JEE Main 2024 Mathematics question
In a survey of 220 students of a higher secondary school, it was found that at least 125 and at most 130 students studied Mathematics; at least 85 and at most 95 studied Physics; at least 75 and at most 90 studied Chemistry; 30 studied both Physics and Chemistry; 50 studied both Chemistry and Mathematics; 40 studied both Mathematics and Physics and 10 studied none of these subjects. Let m and n respectively be the least and the most number of students who studied all the three subjects. Then m + n is equal to
Answer: 45
Solution
|M ∪ P ∪ C| = 210 and inclusion–exclusion gives the triple count t = 210 − (M + P + C) +
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