यदि \(A=\{1,2\}\), \(B=\{3\}\) और \(C=\{4,5,6\}\) हैं, तो (|\(A\times B\)\times C|) क्या होगा?

If \(A=\{1,2\}\), \(B=\{3\}\), and \(C=\{4,5,6\}\), what is (|\(A\times B\)\times C|)?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

\(|A\times B|=2\cdot1=2\), then (|\(A\times B\)\times C|=2\cdot3=6). Cardinalities multiply in nested products too.

Step 2

Why this answer is correct

The correct answer is B. (6). \(|A\times B|=2\cdot1=2\), then (|\(A\times B\)\times C|=2\cdot3=6). Cardinalities multiply in nested products too.

Step 3

Exam Tip

\(|A\times B|=2\cdot1=2\) और फिर (|\(A\times B\)\times C|=2\cdot3=6)। संयुक्त गुणनफल में भी कार्डिनलिटी गुणा होती है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2\}\), \(B=\{3\}\) और \(C=\{4,5,6\}\) हैं, तो (|\(A\times B\)\times C|) क्या होगा? / If \(A=\{1,2\}\), \(B=\{3\}\), and \(C=\{4,5,6\}\), what is (|\(A\times B\)\times C|)?

Correct Answer: B. (6). Explanation: \(|A\times B|=2\cdot1=2\) और फिर (|\(A\times B\)\times C|=2\cdot3=6)। संयुक्त गुणनफल में भी कार्डिनलिटी गुणा होती है। / \(|A\times B|=2\cdot1=2\), then (|\(A\times B\)\times C|=2\cdot3=6). Cardinalities multiply in nested products too.

Which concept should I revise for this Mathematics MCQ?

\(|A\times B|=2\cdot1=2\), then (|\(A\times B\)\times C|=2\cdot3=6). Cardinalities multiply in nested products too.

What exam hint can help solve this Mathematics question?

\(|A\times B|=2\cdot1=2\) और फिर (|\(A\times B\)\times C|=2\cdot3=6)। संयुक्त गुणनफल में भी कार्डिनलिटी गुणा होती है।