T1: Some Inequalities April 07, 2025 Reminder: This post contains 80 words · 1 min read · by Xianbin (nk)≤(nek)k{n \choose k} \leq (\frac{ne}{k})^{k}(kn)≤(kne)k (2kk)≤4kπk\binom{2k}{k} \le \frac{4^k}{\sqrt{\pi k}}(k2k)≤πk4k