यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3,4,5,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a) और (b) दोनों अभाज्य हैं या दोनों भाज्य हैं?
If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3,4,5,6\}\), how many pairs ((a,b)) in \(A\times B\) have both (a) and (b) prime or both composite?
Explanation opens after your attempt
Correct Answer
B. (13)
Concept
There are (3) primes and (2) composites, so the count is \(3^2+2^2=13\). The number (1) is neither prime nor composite.
Why this answer is correct
The correct answer is B. (13). There are (3) primes and (2) composites, so the count is \(3^2+2^2=13\). The number (1) is neither prime nor composite.
Exam Tip
अभाज्य संख्याएँ (3) और भाज्य संख्याएँ (2) हैं, इसलिए गिनती \(3^2+2^2=13\) है। (1) न अभाज्य है न भाज्य।
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