यदि \(A=\{1,2,3\}\), \(B=\{1,2,3\}\) और \(C=\{1,2,3\}\) हैं, तो \(A\times B\times C\) में कितने त्रिक ((a,b,c)) ऐसे हैं जिनमें (a+b+c=6) है?
If \(A=\{1,2,3\}\), \(B=\{1,2,3\}\), and \(C=\{1,2,3\}\), how many triples ((a,b,c)) in \(A\times B\times C\) satisfy (a+b+c=6)?
Explanation opens after your attempt
Correct Answer
B. (7)
Concept
There are (7) ordered triples from (1) to (3) with sum (6). In ordered triples, order is counted separately.
Why this answer is correct
The correct answer is B. (7). There are (7) ordered triples from (1) to (3) with sum (6). In ordered triples, order is counted separately.
Exam Tip
तीन संख्याओं (1) से (3) के बीच योग (6) के कुल (7) क्रमित त्रिक हैं। क्रमित त्रिक में क्रम अलग गिना जाता है।
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