यदि \(A=\{1,2\}\) और \(B=\{3,4\}\) है, तो (\mathcal{P}\(A\cup B\)-\(\mathcal{P}(A)\cup\mathcal{P}(B)\)) में कितने सदस्य होंगे?
If \(A=\{1,2\}\) and \(B=\{3,4\}\), how many members are in (\mathcal{P}\(A\cup B\)-\(\mathcal{P}(A)\cup\mathcal{P}(B)\))?
Explanation opens after your attempt
Correct Answer
C. (9)
Concept
(|\mathcal{P}\(A\cup B\)|=16), \(|\mathcal{P}(A)\cup\mathcal{P}(B)|=4+4-1=7\), so the difference is (9). In exams, count \(\varnothing\) as common to both.
Why this answer is correct
The correct answer is C. (9). (|\mathcal{P}\(A\cup B\)|=16), \(|\mathcal{P}(A)\cup\mathcal{P}(B)|=4+4-1=7\), so the difference is (9). In exams, count \(\varnothing\) as common to both.
Exam Tip
(|\mathcal{P}\(A\cup B\)|=16), \(|\mathcal{P}(A)\cup\mathcal{P}(B)|=4+4-1=7\), इसलिए अंतर (9) है। परीक्षा में \(\varnothing\) दोनों में common गिनें।
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