यदि (n\(A\cup B\cup C\)=86), (n(A)=38), (n(B)=34), (n(C)=31), (n\(A\cap B\)=12), (n\(B\cap C\)=10), (n\(C\cap A\)=9) है, तो (n\(A\cap B\cap C\)) कितना है?

If (n\(A\cup B\cup C\)=86), (n(A)=38), (n(B)=34), (n(C)=31), (n\(A\cap B\)=12), (n\(B\cap C\)=10), (n\(C\cap A\)=9), then what is (n\(A\cap B\cap C\))?

Explanation opens after your attempt
Correct Answer

A. (14)

Step 1

Concept

Use the formula for three sets: (86=38+34+31-12-10-9+x). This gives (x=14).

Step 2

Why this answer is correct

The correct answer is A. (14). Use the formula for three sets: (86=38+34+31-12-10-9+x). This gives (x=14).

Step 3

Exam Tip

तीन समुच्चयों का सूत्र लगाएं: (86=38+34+31-12-10-9+x)। इससे (x=14) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

यदि (n\(A\cup B\cup C\)=86), (n(A)=38), (n(B)=34), (n(C)=31), (n\(A\cap B\)=12), (n\(B\cap C\)=10), (n\(C\cap A\)=9) है, तो (n\(A\cap B\cap C\)) कितना है? / If (n\(A\cup B\cup C\)=86), (n(A)=38), (n(B)=34), (n(C)=31), (n\(A\cap B\)=12), (n\(B\cap C\)=10), (n\(C\cap A\)=9), then what is (n\(A\cap B\cap C\))?

Correct Answer: A. (14). Explanation: तीन समुच्चयों का सूत्र लगाएं: (86=38+34+31-12-10-9+x)। इससे (x=14) मिलता है। / Use the formula for three sets: (86=38+34+31-12-10-9+x). This gives (x=14).

Which concept should I revise for this Mathematics MCQ?

Use the formula for three sets: (86=38+34+31-12-10-9+x). This gives (x=14).

What exam hint can help solve this Mathematics question?

तीन समुच्चयों का सूत्र लगाएं: (86=38+34+31-12-10-9+x)। इससे (x=14) मिलता है।