यदि (A\triangle B=\(A\setminus B\)\cup\(B\setminus A\)) और (|A|=21), (|B|=19), \(|A\cap B|=8\), तो \(|A\triangle B|\) क्या है?

If (A\triangle B=\(A\setminus B\)\cup\(B\setminus A\)) and (|A|=21), (|B|=19), \(|A\cap B|=8\), what is \(|A\triangle B|\)?

Explanation opens after your attempt
Correct Answer

A. (24)

Step 1

Concept

Here \(|A\triangle B|=|A|+|B|-2|A\cap B|=21+19-16=24\). In symmetric difference, the common part is removed twice.

Step 2

Why this answer is correct

The correct answer is A. (24). Here \(|A\triangle B|=|A|+|B|-2|A\cap B|=21+19-16=24\). In symmetric difference, the common part is removed twice.

Step 3

Exam Tip

\(|A\triangle B|=|A|+|B|-2|A\cap B|=21+19-16=24\) है। सममित अंतर में सामान्य भाग दो बार घटता है।

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Mathematics Answer, Explanation and Revision Hints

यदि (A\triangle B=\(A\setminus B\)\cup\(B\setminus A\)) और (|A|=21), (|B|=19), \(|A\cap B|=8\), तो \(|A\triangle B|\) क्या है? / If (A\triangle B=\(A\setminus B\)\cup\(B\setminus A\)) and (|A|=21), (|B|=19), \(|A\cap B|=8\), what is \(|A\triangle B|\)?

Correct Answer: A. (24). Explanation: \(|A\triangle B|=|A|+|B|-2|A\cap B|=21+19-16=24\) है। सममित अंतर में सामान्य भाग दो बार घटता है। / Here \(|A\triangle B|=|A|+|B|-2|A\cap B|=21+19-16=24\). In symmetric difference, the common part is removed twice.

Which concept should I revise for this Mathematics MCQ?

Here \(|A\triangle B|=|A|+|B|-2|A\cap B|=21+19-16=24\). In symmetric difference, the common part is removed twice.

What exam hint can help solve this Mathematics question?

\(|A\triangle B|=|A|+|B|-2|A\cap B|=21+19-16=24\) है। सममित अंतर में सामान्य भाग दो बार घटता है।