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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?(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?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (336)(336)
Total subsets are (\binom{11}{6}=462) and those containing both (4), (5) are (\binom{9}{4}=126). Hence (462-126=336).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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