यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में (3) तत्वों वाले subsets में से कितने (1) को रखते हैं?
If \(A=\{1,2,3,4,5,6\}\), among the (3)-element subsets in (\mathcal{P}(A)), how many contain (1)?
Explanation opens after your attempt
Correct Answer
B. (10)
Concept
(1) is fixed, so the remaining (2) elements are chosen from (5): \(\binom{5}{2}=10\). In exams, count remaining choices after fixing the compulsory element.
Why this answer is correct
The correct answer is B. (10). (1) is fixed, so the remaining (2) elements are chosen from (5): \(\binom{5}{2}=10\). In exams, count remaining choices after fixing the compulsory element.
Exam Tip
(1) fixed है, इसलिए बाकी (2) तत्व (5) में से चुने जाएंगे: \(\binom{5}{2}=10\)। परीक्षा में compulsory element के बाद remaining choice गिनें।
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