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What will be the value of (\binom{9}{0})?(\binom{9}{0}) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 11
\(\binom{9}{0}\) represents the number of ways of choosing 0 objects from 9 objects. There is exactly one way to choose nothing, so \(\binom{9}{0}=1\). The number 9 is the total number of objects, not the number of combinations. Exam tip: For every \(n\), \(\binom{n}{0}=\binom{n}{n}=1\).\(\binom{9}{0}\) का अर्थ 9 वस्तुओं में से 0 वस्तुएँ चुनने के तरीकों की संख्या है। कुछ भी न चुनने का केवल एक तरीका होता है, इसलिए \(\binom{9}{0}=1\)। \(9\) कुल वस्तुओं की संख्या है, संयोजनों की संख्या नहीं। परीक्षा टिप: याद रखें, प्रत्येक \(n\) के लिए \(\binom{n}{0}=\binom{n}{n}=1\)।
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