कितने (5)-तत्व उपसमुच्चय \(A=\{1,2,3,4,5,6,7,8,9,10,11,12\}\) से बनाए जा सकते हैं जिनमें (1) और (2) शामिल हों लेकिन (3) शामिल न हो?
How many (5)-element subsets can be formed from \(A=\{1,2,3,4,5,6,7,8,9,10,11,12\}\) that contain (1) and (2) but not (3)?
Explanation opens after your attempt
Correct Answer
B. (84)
Concept
The elements (1) and (2) are fixed and (3) is excluded. The remaining (3) elements are chosen from (9), so \(\binom{9}{3}=84\).
Why this answer is correct
The correct answer is B. (84). The elements (1) and (2) are fixed and (3) is excluded. The remaining (3) elements are chosen from (9), so \(\binom{9}{3}=84\).
Exam Tip
(1) और (2) तय हैं और (3) हट गया है। बाकी (3) तत्व (9) में से चुने जाएंगे इसलिए \(\binom{9}{3}=84\) है।
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