List questions from binomial-coefficients

Published on 27 Mar 2026 - 0:01

106

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Binomial summations

Published on 25 Oct 2018 - 12:20

258

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Role of binomial coefficents in nested summations in layman terms

Published on 26 Oct 2018 - 9:45

725

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Numerical differentiation with Binomial Theorem

Published on 27 Mar 2026 - 5:15

19

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Permutations of building density versus campus population

Published on 26 Oct 2018 - 20:42

70

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Product of binomials

Published on 26 Oct 2018 - 23:38

130

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Value of$ \sum^{50}_{k=1}(49+k)! \cdot (50-k)!\cdot (2k-1)$

Published on 27 Oct 2018 - 10:03

151

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Inequality including binomial coefficient

Published on 28 Oct 2018 - 15:12

263

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Attempt to generalize a self-made theorem on polynomials

Published on 30 Oct 2018 - 2:49

188

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Proof that $\frac{n}{N}\cdot\frac{n-1}{N-1}\cdot\frac{n-2}{N-2}\cdot\ldots\cdot \frac{1}{N-n+1} = \frac{1}{{N\choose n}}$

Published on 31 Oct 2018 - 2:46

119

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Calculating coefficient

Published on 27 Mar 2026 - 0:01

34

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Evaluating constant term

Published on 31 Oct 2018 - 15:12

704

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Bounds on $\binom{2n}{n}$

Published on 31 Oct 2018 - 22:39

105

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Combinatorial proofs of several binomial sums

Published on 26 Mar 2026 - 1:00

132

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How is $C_0^nC_n^{n+1}+ C_1^nC_{n-1}^{n}+C_2^nC_{n-2}^{n-1}+\dots+C_n^n C_0^{1} =2^{n-1}(n+2) ?$

Published on 27 Mar 2026 - 1:48

List Question

Coefficient in binomial expansion

Binomial summations

Role of binomial coefficents in nested summations in layman terms

Numerical differentiation with Binomial Theorem

Permutations of building density versus campus population

Product of binomials

Value of$ \sum^{50}_{k=1}(49+k)! \cdot (50-k)!\cdot (2k-1)$

Inequality including binomial coefficient

Attempt to generalize a self-made theorem on polynomials

Proof that $\frac{n}{N}\cdot\frac{n-1}{N-1}\cdot\frac{n-2}{N-2}\cdot\ldots\cdot \frac{1}{N-n+1} = \frac{1}{{N\choose n}}$

Calculating coefficient

Evaluating constant term

Bounds on $\binom{2n}{n}$

Combinatorial proofs of several binomial sums

How is $C_0^nC_n^{n+1}+ C_1^nC_{n-1}^{n}+C_2^nC_{n-2}^{n-1}+\dots+C_n^n C_0^{1} =2^{n-1}(n+2) ?$

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