List questions from binomial-coefficients

Published on 04 May 2026 - 8:44

73

Views

Sum of $\frac{C_r}{(r+1)(r+2)}$ from $r=0$ to $r=n$

Published on 03 May 2026 - 12:39

232

Views

Periodicity of $a_n={n \choose z}\ mod \ y$?

Published on 03 May 2026 - 12:18

806

Views

Let $R$ be a ring of prime characteristic. Say $a\in R$ and $a$ is nilpotent. Prove that $1+a$ is unipotent.

Published on 05 May 2026 - 14:03

321

Views

Finding coefficient in the expansion

Published on 10 May 2026 - 13:46

459

Views

How to find the missing terms

Published on 29 Apr 2026 - 12:23

445

Views

Rewriting a binomial coefficient in terms of Pochhammer symbols

Published on 29 Apr 2026 - 12:05

131

Views

Proving that $\binom{2n}{n} > n2^n , \forall n \ge 4 $

Published on 04 May 2026 - 11:47

108

Views

Closed form of :$S n,m= \sum_{k=1}^n (-1)^k\binom{n}{k}k^{-m!}$

Published on 03 May 2026 - 1:51

326

Views

Another summation identity with binomial coefficients

Published on 04 May 2026 - 2:35

100

Views

Is this $\binom{n}{p}$ for $p>n$ make a sense in mathematics or it is $0$ by convention?

Published on 03 May 2026 - 9:27

210

Views

prove $\left( \begin{array}{c} 2n \\ n\ \end{array} \right) = 2 \left( \begin{array}{c} n \\ 2\ \end{array} \right) + n^2$

Published on 03 May 2026 - 0:47

761

Views

Finding the power of a binomial

Published on 05 May 2026 - 4:18

73

Views

Proof $n \geq 3\hspace{0.5cm} \sum\limits_{k=1}^{n-2}{n-k\choose 2}={n\choose 3}$

Published on 03 May 2026 - 0:20

357

Views

Sum of terms involving binomial coefficients and floor functions

Published on 10 May 2026 - 12:34

List Question

Proof involving Fibonacci number and binomial coefficient

Sum of $\frac{C_r}{(r+1)(r+2)}$ from $r=0$ to $r=n$

Periodicity of $a_n={n \choose z}\ mod \ y$?

Let $R$ be a ring of prime characteristic. Say $a\in R$ and $a$ is nilpotent. Prove that $1+a$ is unipotent.

Finding coefficient in the expansion

How to find the missing terms

Rewriting a binomial coefficient in terms of Pochhammer symbols

Proving that $\binom{2n}{n} > n2^n , \forall n \ge 4 $

Closed form of :$S n,m= \sum_{k=1}^n (-1)^k\binom{n}{k}k^{-m!}$

Another summation identity with binomial coefficients

Is this $\binom{n}{p}$ for $p>n$ make a sense in mathematics or it is $0$ by convention?

prove $\left( \begin{array}{c} 2n \\ n\ \end{array} \right) = 2 \left( \begin{array}{c} n \\ 2\ \end{array} \right) + n^2$

Finding the power of a binomial

Proof $n \geq 3\hspace{0.5cm} \sum\limits_{k=1}^{n-2}{n-k\choose 2}={n\choose 3}$

Sum of terms involving binomial coefficients and floor functions

Trending Questions

Popular # Hahtags

Popular Questions