यदि \(U=\{1,2,3,4,5,6,7,8,9\}\), \(A=\{1,3,5,7,9\}\) और \(B=\{2,3,5,8\}\) है, तो (|\mathcal{P}((A-B)')|) कितना है?

If \(U=\{1,2,3,4,5,6,7,8,9\}\), \(A=\{1,3,5,7,9\}\), and \(B=\{2,3,5,8\}\), what is (|\mathcal{P}((A-B)')|)?

Explanation opens after your attempt
Correct Answer

C. (64)

Step 1

Concept

(A-B={1,7,9}), so its complement has (6) elements. Hence the power set size is \(2^6=64\).

Step 2

Why this answer is correct

The correct answer is C. (64). (A-B={1,7,9}), so its complement has (6) elements. Hence the power set size is \(2^6=64\).

Step 3

Exam Tip

(A-B={1,7,9}), इसलिए उसके complement में (6) तत्व हैं। अतः power set size \(2^6=64\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9\}\), \(A=\{1,3,5,7,9\}\) और \(B=\{2,3,5,8\}\) है, तो (|\mathcal{P}((A-B)')|) कितना है? / If \(U=\{1,2,3,4,5,6,7,8,9\}\), \(A=\{1,3,5,7,9\}\), and \(B=\{2,3,5,8\}\), what is (|\mathcal{P}((A-B)')|)?

Correct Answer: C. (64). Explanation: (A-B={1,7,9}), इसलिए उसके complement में (6) तत्व हैं। अतः power set size \(2^6=64\) है। / (A-B={1,7,9}), so its complement has (6) elements. Hence the power set size is \(2^6=64\).

Which concept should I revise for this Mathematics MCQ?

(A-B={1,7,9}), so its complement has (6) elements. Hence the power set size is \(2^6=64\).

What exam hint can help solve this Mathematics question?

(A-B={1,7,9}), इसलिए उसके complement में (6) तत्व हैं। अतः power set size \(2^6=64\) है।