यदि (n(U)=250), (n(A)=120), (n(B)=110), (n(C)=95), (n\(A\cap B\)=52), (n\(B\cap C\)=41), (n\(C\cap A\)=37), (n\(A\cap B\cap C\)=19) है, तो कम से कम एक में नहीं होने वालों की संख्या क्या है?

If (n(U)=250), (n(A)=120), (n(B)=110), (n(C)=95), (n\(A\cap B\)=52), (n\(B\cap C\)=41), (n\(C\cap A\)=37), and (n\(A\cap B\cap C\)=19), what is the number not in at least one set?

Explanation opens after your attempt
Correct Answer

A. (36)

Step 1

Concept

The union for at least one is (120+110+95-52-41-37+19=214), so outside is (250-214=36). With large numbers, write the formula in order.

Step 2

Why this answer is correct

The correct answer is A. (36). The union for at least one is (120+110+95-52-41-37+19=214), so outside is (250-214=36). With large numbers, write the formula in order.

Step 3

Exam Tip

कम से कम एक का संघ (120+110+95-52-41-37+19=214) है, इसलिए बाहर (250-214=36)। लंबी संख्याओं में सूत्र क्रम से लिखें।

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Mathematics Answer, Explanation and Revision Hints

यदि (n(U)=250), (n(A)=120), (n(B)=110), (n(C)=95), (n\(A\cap B\)=52), (n\(B\cap C\)=41), (n\(C\cap A\)=37), (n\(A\cap B\cap C\)=19) है, तो कम से कम एक में नहीं होने वालों की संख्या क्या है? / If (n(U)=250), (n(A)=120), (n(B)=110), (n(C)=95), (n\(A\cap B\)=52), (n\(B\cap C\)=41), (n\(C\cap A\)=37), and (n\(A\cap B\cap C\)=19), what is the number not in at least one set?

Correct Answer: A. (36). Explanation: कम से कम एक का संघ (120+110+95-52-41-37+19=214) है, इसलिए बाहर (250-214=36)। लंबी संख्याओं में सूत्र क्रम से लिखें। / The union for at least one is (120+110+95-52-41-37+19=214), so outside is (250-214=36). With large numbers, write the formula in order.

Which concept should I revise for this Mathematics MCQ?

The union for at least one is (120+110+95-52-41-37+19=214), so outside is (250-214=36). With large numbers, write the formula in order.

What exam hint can help solve this Mathematics question?

कम से कम एक का संघ (120+110+95-52-41-37+19=214) है, इसलिए बाहर (250-214=36)। लंबी संख्याओं में सूत्र क्रम से लिखें।