\({}^{n}C_0+{}^{n}C_1+\cdots+{}^{n}C_n\) में middle terms largest क्यों होते हैं?
Why are middle terms largest in \({}^{n}C_0+{}^{n}C_1+\cdots+{}^{n}C_n\)?
Explanation opens after your attempt
A. क्योंकि consecutive ratio पहले (1) से बड़ा और बाद में (1) से छोटा होता हैBecause the consecutive ratio is first greater than (1) and later less than (1)
Concept
The ratio \(\frac{n-r}{r+1}\) shows the transition. In exams check the trend of binomial coefficients by ratios.
Why this answer is correct
The correct answer is A. क्योंकि consecutive ratio पहले (1) से बड़ा और बाद में (1) से छोटा होता है / Because the consecutive ratio is first greater than (1) and later less than (1). The ratio \(\frac{n-r}{r+1}\) shows the transition. In exams check the trend of binomial coefficients by ratios.
Exam Tip
Ratio \(\frac{n-r}{r+1}\) transition दिखाता है। परीक्षा में binomial coefficient trend ratio से check करें।
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