यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में (3) तत्वों वाले subsets में से कितने (1) को नहीं रखते?
If \(A=\{1,2,3,4,5,6\}\), among the (3)-element subsets in (\mathcal{P}(A)), how many do not contain (1)?
Explanation opens after your attempt
A. (10)
Concept
After removing (1), (5) elements remain and (3) must be chosen: \(\binom{5}{3}=10\). In exams, remove the excluded element first.
Why this answer is correct
The correct answer is A. (10). After removing (1), (5) elements remain and (3) must be chosen: \(\binom{5}{3}=10\). In exams, remove the excluded element first.
Exam Tip
(1) हटाने पर (5) तत्व बचते हैं, जिनमें से (3) चुनने हैं: \(\binom{5}{3}=10\)। परीक्षा में excluded element को पहले हटा दें।
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