If s_ n = _ r=n ^ n 1 ^ n C_ r and t_ n = _ r=n ^ n r ^ n C_ r then t_ n 5 _ n is equal to
Mathematics · JEE Main · NTA Exams — Binomial Theorem And Its Simple Applications
If \(s_{n}=\sum_{r=n}^{n} \frac{1}{{ }^{n} C_{r}} \text { and } t_{n}=\sum_{r=n}^{n} \frac{r}{{ }^{n} C_{r}}\) then \(\frac{t_{n}}{\mathbf{5}_{n}}\) is equal to
- \(\frac{1}{2} n\)
- \(\frac{1}{2} n-1\)
- \(\text { n - } 1\)
- \(\frac{2 n-1}{2}\)
Answer
(B) 1 2 n-1
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