समुच्चय \(A=\{1,2,3,4\}\) पर सममित संबंधों की संख्या किसके बराबर है?
The number of symmetric relations on \(A=\{1,2,3,4\}\) is equal to which expression?
Explanation opens after your attempt
Correct Answer
A. \(2^{10}\)
Concept
For a symmetric relation, the number of independent choices is (\frac{4(4+1)}{2}=10). Hence the number of relations is \(2^{10}\).
Why this answer is correct
The correct answer is A. \(2^{10}\). For a symmetric relation, the number of independent choices is (\frac{4(4+1)}{2}=10). Hence the number of relations is \(2^{10}\).
Exam Tip
सममित संबंध में स्वतंत्र चुनावों की संख्या (\frac{4(4+1)}{2}=10) होती है। इसलिए कुल संबंध \(2^{10}\) हैं।
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