यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3,4\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(a+b\le7\) है?

If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3,4\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(a+b\le7\)?

Explanation opens after your attempt
Correct Answer

A. (18)

Step 1

Concept

For (a=1,2,3,4,5,6), the counts of (b) are (4,4,4,3,2,1), totaling (18). Include equality in \(\le\).

Step 2

Why this answer is correct

The correct answer is A. (18). For (a=1,2,3,4,5,6), the counts of (b) are (4,4,4,3,2,1), totaling (18). Include equality in \(\le\).

Step 3

Exam Tip

(a=1,2,3,4,5,6) के लिए (b) के (4,4,4,3,2,1) मान मिलते हैं, कुल (18)। \(\le\) में बराबरी भी गिनें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3,4\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(a+b\le7\) है? / If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3,4\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(a+b\le7\)?

Correct Answer: A. (18). Explanation: (a=1,2,3,4,5,6) के लिए (b) के (4,4,4,3,2,1) मान मिलते हैं, कुल (18)। \(\le\) में बराबरी भी गिनें। / For (a=1,2,3,4,5,6), the counts of (b) are (4,4,4,3,2,1), totaling (18). Include equality in \(\le\).

Which concept should I revise for this Mathematics MCQ?

For (a=1,2,3,4,5,6), the counts of (b) are (4,4,4,3,2,1), totaling (18). Include equality in \(\le\).

What exam hint can help solve this Mathematics question?

(a=1,2,3,4,5,6) के लिए (b) के (4,4,4,3,2,1) मान मिलते हैं, कुल (18)। \(\le\) में बराबरी भी गिनें।