\(यदि (U={1,2,3,4,5,6,7,8,9,10,11,12}) और (A={x:x\in U, x\) is odd\(}) है, तो (\mathcal{P}(A')) में (3) तत्वों वाले members कितने हैं\)?

\(If (U={1,2,3,4,5,6,7,8,9,10,11,12}) and (A={x:x\in U, x\) is odd\(}), how many (3)-element members are there in (\mathcal{P}(A'))\)?

Explanation opens after your attempt
Correct Answer

C. (20)

Step 1

Concept

(A') contains (6) even numbers, so the number of (3)-element subsets is \(\binom{6}{3}=20\). In exams, first find the size of (A').

Step 2

Why this answer is correct

The correct answer is C. (20). (A') contains (6) even numbers, so the number of (3)-element subsets is \(\binom{6}{3}=20\). In exams, first find the size of (A').

Step 3

Exam Tip

(A') में even numbers (6) हैं, इसलिए (3)-element subsets की संख्या \(\binom{6}{3}=20\) है। परीक्षा में पहले (A') की size निकालें।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (U={1,2,3,4,5,6,7,8,9,10,11,12}) और (A={x:x\in U, x\) is odd}) है, तो (\mathcal{P}(A')) में (3) तत्वों वाले members कितने हैं? \(/ If (U={1,2,3,4,5,6,7,8,9,10,11,12}) and (A={x:x\in U, x\) is odd\(}), how many (3)-element members are there in (\mathcal{P}(A'))\)?

Correct Answer: C. (20). Explanation: (A') में even numbers (6) हैं, इसलिए (3)-element subsets की संख्या \(\binom{6}{3}=20\) है। परीक्षा में पहले (A') की size निकालें। / (A') contains (6) even numbers, so the number of (3)-element subsets is \(\binom{6}{3}=20\). In exams, first find the size of (A').

Which concept should I revise for this Mathematics MCQ?

(A') contains (6) even numbers, so the number of (3)-element subsets is \(\binom{6}{3}=20\). In exams, first find the size of (A').

What exam hint can help solve this Mathematics question?

(A') में even numbers (6) हैं, इसलिए (3)-element subsets की संख्या \(\binom{6}{3}=20\) है। परीक्षा में पहले (A') की size निकालें।