यदि \(A=\{0,1\}\) और \(B=\{1,2,3\}\) हैं, तो \(A\times B\) के कितने उपसमुच्चय होंगे?

If \(A=\{0,1\}\) and \(B=\{1,2,3\}\), how many subsets does \(A\times B\) have?

Explanation opens after your attempt
Correct Answer

A. \(2^6\)

Step 1

Concept

(n\(A\times B\)=2\times3=6), so the number of subsets is \(2^6\). Use the formula \(2^n\) for counting subsets.

Step 2

Why this answer is correct

The correct answer is A. \(2^6\). (n\(A\times B\)=2\times3=6), so the number of subsets is \(2^6\). Use the formula \(2^n\) for counting subsets.

Step 3

Exam Tip

(n\(A\times B\)=2\times3=6), इसलिए उपसमुच्चयों की संख्या \(2^6\) है। उपसमुच्चय गिनने में \(2^n\) सूत्र लगाएं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{0,1\}\) और \(B=\{1,2,3\}\) हैं, तो \(A\times B\) के कितने उपसमुच्चय होंगे? / If \(A=\{0,1\}\) and \(B=\{1,2,3\}\), how many subsets does \(A\times B\) have?

Correct Answer: A. \(2^6\). Explanation: (n\(A\times B\)=2\times3=6), इसलिए उपसमुच्चयों की संख्या \(2^6\) है। उपसमुच्चय गिनने में \(2^n\) सूत्र लगाएं। / (n\(A\times B\)=2\times3=6), so the number of subsets is \(2^6\). Use the formula \(2^n\) for counting subsets.

Which concept should I revise for this Mathematics MCQ?

(n\(A\times B\)=2\times3=6), so the number of subsets is \(2^6\). Use the formula \(2^n\) for counting subsets.

What exam hint can help solve this Mathematics question?

(n\(A\times B\)=2\times3=6), इसलिए उपसमुच्चयों की संख्या \(2^6\) है। उपसमुच्चय गिनने में \(2^n\) सूत्र लगाएं।