यदि \(A=\{0\}\) और \(B=\{1,2,3\}\) है, तो \(A\times B\) कौन सा है?

If \(A=\{0\}\) and \(B=\{1,2,3\}\), which is \(A\times B\)?

Explanation opens after your attempt
Correct Answer

A. ({(0,1),(0,2),(0,3)})

Step 1

Concept

The only element (0) of (A) stays in the first position and all elements of (B) come in the second position. Do not reverse order even for singleton sets.

Step 2

Why this answer is correct

The correct answer is A. ({(0,1),(0,2),(0,3)}). The only element (0) of (A) stays in the first position and all elements of (B) come in the second position. Do not reverse order even for singleton sets.

Step 3

Exam Tip

(A) का एकमात्र तत्व (0) पहले स्थान पर रहेगा और (B) के सभी तत्व दूसरे स्थान पर आएंगे। एकल तत्व वाले समुच्चय में भी क्रम न बदलें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{0\}\) और \(B=\{1,2,3\}\) है, तो \(A\times B\) कौन सा है? / If \(A=\{0\}\) and \(B=\{1,2,3\}\), which is \(A\times B\)?

Correct Answer: A. ({(0,1),(0,2),(0,3)}). Explanation: (A) का एकमात्र तत्व (0) पहले स्थान पर रहेगा और (B) के सभी तत्व दूसरे स्थान पर आएंगे। एकल तत्व वाले समुच्चय में भी क्रम न बदलें। / The only element (0) of (A) stays in the first position and all elements of (B) come in the second position. Do not reverse order even for singleton sets.

Which concept should I revise for this Mathematics MCQ?

The only element (0) of (A) stays in the first position and all elements of (B) come in the second position. Do not reverse order even for singleton sets.

What exam hint can help solve this Mathematics question?

(A) का एकमात्र तत्व (0) पहले स्थान पर रहेगा और (B) के सभी तत्व दूसरे स्थान पर आएंगे। एकल तत्व वाले समुच्चय में भी क्रम न बदलें।