यदि \(U=\{1,2,3,4,5,6,7,8\}\) और \(A=\{1,3,5,7\}\), तो (P(A')) के कितने अवयवों में केवल सम संख्याएँ होंगी?

If \(U=\{1,2,3,4,5,6,7,8\}\) and \(A=\{1,3,5,7\}\), how many elements of (P(A')) contain only even numbers?

Explanation opens after your attempt
Correct Answer

B. (16)

Step 1

Concept

(A'={2,4,6,8}), so all its subsets contain only even numbers. The number is \(2^4=16\).

Step 2

Why this answer is correct

The correct answer is B. (16). (A'={2,4,6,8}), so all its subsets contain only even numbers. The number is \(2^4=16\).

Step 3

Exam Tip

(A'={2,4,6,8}), इसलिए इसके सभी उपसमुच्चय केवल सम संख्याओं के होंगे। संख्या \(2^4=16\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8\}\) और \(A=\{1,3,5,7\}\), तो (P(A')) के कितने अवयवों में केवल सम संख्याएँ होंगी? / If \(U=\{1,2,3,4,5,6,7,8\}\) and \(A=\{1,3,5,7\}\), how many elements of (P(A')) contain only even numbers?

Correct Answer: B. (16). Explanation: (A'={2,4,6,8}), इसलिए इसके सभी उपसमुच्चय केवल सम संख्याओं के होंगे। संख्या \(2^4=16\) है। / (A'={2,4,6,8}), so all its subsets contain only even numbers. The number is \(2^4=16\).

Which concept should I revise for this Mathematics MCQ?

(A'={2,4,6,8}), so all its subsets contain only even numbers. The number is \(2^4=16\).

What exam hint can help solve this Mathematics question?

(A'={2,4,6,8}), इसलिए इसके सभी उपसमुच्चय केवल सम संख्याओं के होंगे। संख्या \(2^4=16\) है।