Inequality of binomial coefficients
107258
Proving If $k \le \left\lfloor \frac{n}{2} \right\rfloor$ then $\binom{n}{k-1} < \binom{n}{k}$
7404
Induction and convergence of an inequality: $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots(2n)}\leq \frac{1}{\sqrt{2n+1}}$
52557
Derivation of binomial coefficient in binomial theorem.
143968
Proving this inequality by mathematical induction
79847
proving of inequality $(n!)^2 \leq n^n\cdot n!\leq (2n!)$, where $n\in \mathbb{N}$
2708
Inequality ${n \choose k} \leq \left(\frac{en}{ k}\right)^k$
32149
Proof of the inequality $(x+y)^n\leq 2^{n-1}(x^n+y^n)$
13236
Proving equality - a sum including binomial coefficient $\sum_{k=1}^{n}k{n \choose k}2^{n-k}=n3^{n-1}$
143927
Binomial coefficients that are powers of 2
31970
Alternating sum of squares of binomial coefficients
120074
Prove by Combinatorial Argument that $\binom{n}{k}= \frac{n}{k} \binom{n-1}{k-1}$
113943
Prove this equality by using Newton's Binomial Theorem
120093
Proof of inequality $2(\sqrt{n+1}-\sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n} - \sqrt{n-1})$ using induction
41412
Inequality in number theory
99644
Finding an Upper Bound on This Inequality
42606
Orthogonality for Binomial Coefficients
99249
Sum of product of binomial coefficients: $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{n + k}{k} = (-1)^n$