यदि \(A=\{1,2,3,4\}\) और \(B=\{3,4,5,6\}\) हैं, तो (|\mathcal{P}\(A\cap B\)|) का मान क्या होगा?
If \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), what is the value of (|\mathcal{P}\(A\cap B\)|)?
Explanation opens after your attempt
Correct Answer
B. (4)
Concept
\(A\cap B={3,4}\), so its power set has \(2^2=4\) elements. First find the intersection, then apply the power set formula.
Why this answer is correct
The correct answer is B. (4). \(A\cap B={3,4}\), so its power set has \(2^2=4\) elements. First find the intersection, then apply the power set formula.
Exam Tip
\(A\cap B={3,4}\) है, इसलिए इसके घात समुच्चय में \(2^2=4\) तत्व होंगे। पहले प्रतिच्छेद निकालें, फिर घात समुच्चय की संख्या लगाएँ।
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