\(A=\{1,2,3,4,5,6,7,8,9,10,11\}\) के कितने (6)-तत्व उपसमुच्चय (4) और (5) दोनों को साथ शामिल नहीं करते?
How many (6)-element subsets of \(A=\{1,2,3,4,5,6,7,8,9,10,11\}\) do not contain both (4) and (5) together?
Explanation opens after your attempt
Correct Answer
C. (336)
Concept
Total subsets are \(\binom{11}{6}=462\) and those containing both (4), (5) are \(\binom{9}{4}=126\). Hence (462-126=336).
Why this answer is correct
The correct answer is C. (336). Total subsets are \(\binom{11}{6}=462\) and those containing both (4), (5) are \(\binom{9}{4}=126\). Hence (462-126=336).
Exam Tip
कुल \(\binom{11}{6}=462\) हैं और (4), (5) दोनों हों तो \(\binom{9}{4}=126\) हैं। इसलिए (462-126=336) है।
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