Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 10

In a class of 40 students, 24 chose Mathematics and 18 chose Physics, while 7 chose neither subject. How many students chose both subjects?

Advertisement

Answer and explanation

Correct answer: 9

The number choosing at least one subject is 40 − 7 = 33, because 7 students chose neither subject. By the inclusion–exclusion principle, n(M ∪ P) = n(M) + n(P) − n(M ∩ P). Therefore, 33 = 24 + 18 − n(M ∩ P), so n(M ∩ P) = 9. Hence, 9 students chose both Mathematics and Physics.

Tags

setsinclusion-exclusionunionintersectionword-problemOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

9

Why is this the correct answer?

The number choosing at least one subject is 40 − 7 = 33, because 7 students chose neither subject. By the inclusion–exclusion principle, n(M ∪ P) = n(M) + n(P) − n(M ∩ P). Therefore, 33 = 24 + 18 − n(M ∩ P), so n(M ∩ P) = 9. Hence, 9 students chose both Mathematics and Physics.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

Report question
Advertisement