(A) में (3) तत्व हैं। (A) पर प्रत्यासममित संबंधों की संख्या कितनी है?
Set (A) has (3) elements. How many antisymmetric relations are there on (A)?
Explanation opens after your attempt
Correct Answer
A. \(2^3\cdot 3^3\)
Concept
Self-pairs give \(2^3\) choices and each distinct unordered pair gives (3) choices. Hence the number is \(2^3\cdot 3^3\).
Why this answer is correct
The correct answer is A. \(2^3\cdot 3^3\). Self-pairs give \(2^3\) choices and each distinct unordered pair gives (3) choices. Hence the number is \(2^3\cdot 3^3\).
Exam Tip
आत्म युग्मों के लिए \(2^3\) चुनाव और हर अलग जोड़े के लिए (3) चुनाव हैं। इसलिए संख्या \(2^3\cdot 3^3\) है।
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