\(A=\{1,2,3,4,5,6,7,8,9,10\}\) के कितने (5)-तत्व उपसमुच्चय (2) और (3) दोनों को साथ शामिल नहीं करते?
How many (5)-element subsets of \(A=\{1,2,3,4,5,6,7,8,9,10\}\) do not contain both (2) and (3) together?
Explanation opens after your attempt
Correct Answer
C. (196)
Concept
Total subsets are \(\binom{10}{5}=252\) and those containing both (2), (3) are \(\binom{8}{3}=56\). Hence (252-56=196).
Why this answer is correct
The correct answer is C. (196). Total subsets are \(\binom{10}{5}=252\) and those containing both (2), (3) are \(\binom{8}{3}=56\). Hence (252-56=196).
Exam Tip
कुल \(\binom{10}{5}=252\) हैं और (2), (3) दोनों हों तो \(\binom{8}{3}=56\) हैं। इसलिए (252-56=196) है।
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