\(यदि (U={1,2,3,4,5,6,7,8,9,10,11,12}) और (A={x:x\in U, x\) 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
C. (20)
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').
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').
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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