यदि \(A=\{1,2,3,4,5\}\) है, तो (\mathcal{P}(A)) में (2) और (3) दोनों को साथ-साथ रखने या दोनों को न रखने वाले subsets कितने हैं?
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Correct Answer
B. (16)
Concept
For the pair ({2,3}), there are (2) choices and for the remaining (3) elements there are \(2^3\), so \(2\cdot2^3=16\). In exams, split linked elements into cases.
Why this answer is correct
The correct answer is B. (16). For the pair ({2,3}), there are (2) choices and for the remaining (3) elements there are \(2^3\), so \(2\cdot2^3=16\). In exams, split linked elements into cases.
Exam Tip
जोड़ी ({2,3}) के लिए (2) choices हैं और बाकी (3) तत्वों के लिए \(2^3\), इसलिए \(2\cdot2^3=16\)। परीक्षा में linked elements को cases में बांटें।
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