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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?(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?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (196)(196)
Total subsets are (\binom{10}{5}=252) and those containing both (2), (3) are (\binom{8}{3}=56). Hence (252-56=196).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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