यदि \(A=\{1,2,3,4,5,6\}\) है तो (A) के (3) अवयवों वाले ऐसे उपसमुच्चयों की संख्या क्या है जिनमें (1) अवश्य हो?
If \(A=\{1,2,3,4,5,6\}\) then how many three element subsets of (A) must contain (1)?
Explanation opens after your attempt
Correct Answer
B. (10)
Concept
(1) is fixed, so choose (2) elements from the remaining (5). The count is \(\binom{5}{2}=10\).
Why this answer is correct
The correct answer is B. (10). (1) is fixed, so choose (2) elements from the remaining (5). The count is \(\binom{5}{2}=10\).
Exam Tip
(1) निश्चित है, इसलिए बाकी (5) अवयवों में से (2) चुनने हैं। संख्या \(\binom{5}{2}=10\) है।
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