List questions from binomial-coefficients

Published on 13 Apr 2026 - 14:15

83

Views

Binomial theorem expansion. Why do the powers flip in certain circumstances?

Published on 09 Apr 2026 - 13:13

74

Views

How to solve $\binom{n+m}{k} = \sum_{i=0}^{k} \binom{m}{i} \binom{n}{k-i} $

Published on 31 Mar 2026 - 21:51

617

Views

Stirling Number of second kind (unsigned) and binomial coefficient, proof of equality?

Published on 12 Apr 2026 - 6:21

471

Views

Partial sum of binomial coefficents

Published on 13 Apr 2026 - 11:32

89

Views

Sum calculation with binomial coefficients

Published on 10 Apr 2026 - 1:16

77

Views

About the cube's digit sum

Published on 11 Apr 2026 - 4:02

1.2k

Views

Show that $\binom{n}{r}=\binom{n}{n-r}$ by using the Binomial Formula

Published on 12 Apr 2026 - 18:16

41

Views

Deducing an equality

Published on 12 Apr 2026 - 6:01

45

Views

Find the coefficientof $x^n$ in the expansion of $\frac{2-3{x}}{2x^2-3x+1}$

Published on 26 Mar 2026 - 3:13

1.1k

Views

Prove by induction: $\sum_{k = 0}^n {{2n + 1}\choose{2k + 1}} = 4^n$

Published on 25 Jan 2017 - 15:24

217

Views

Using Binomial Theorem to solve a question

Published on 13 Apr 2026 - 14:47

77

Views

If n is a positive multiple of 6, show that ${n\choose1}-3{n\choose3}+3^2{n\choose5}-\cdots=0$

Published on 31 Mar 2026 - 21:51

110

Views

show that ${r \choose 0}{s \choose n}+{r \choose 1}{s \choose n+1}+{r \choose 2}{s \choose n+2}+...+{r \choose n}{s \choose n+n}={r+s \choose s-n}$

Published on 31 Mar 2026 - 21:53

341

Views

combinatorial proof for binomial identity

Published on 10 Apr 2026 - 20:44

List Question

How many possible combinations in 8 character String?

Binomial theorem expansion. Why do the powers flip in certain circumstances?

How to solve $\binom{n+m}{k} = \sum_{i=0}^{k} \binom{m}{i} \binom{n}{k-i} $

Stirling Number of second kind (unsigned) and binomial coefficient, proof of equality?

Partial sum of binomial coefficents

Sum calculation with binomial coefficients

About the cube's digit sum

Show that $\binom{n}{r}=\binom{n}{n-r}$ by using the Binomial Formula

Deducing an equality

Find the coefficientof $x^n$ in the expansion of $\frac{2-3{x}}{2x^2-3x+1}$

Prove by induction: $\sum_{k = 0}^n {{2n + 1}\choose{2k + 1}} = 4^n$

Using Binomial Theorem to solve a question

If n is a positive multiple of 6, show that ${n\choose1}-3{n\choose3}+3^2{n\choose5}-\cdots=0$

show that ${r \choose 0}{s \choose n}+{r \choose 1}{s \choose n+1}+{r \choose 2}{s \choose n+2}+...+{r \choose n}{s \choose n+n}={r+s \choose s-n}$

combinatorial proof for binomial identity

Trending Questions

Popular # Hahtags

Popular Questions