List questions from binomial-coefficients

Published on 26 Mar 2026 - 4:52

118

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Estimation for sum over binomial coefficients

Published on 11 Mar 2014 - 16:28

600

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Finding an algebraic proof for $r{n \choose r} = n{n-1 \choose r-1}$

Published on 11 Mar 2014 - 20:11

167

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How are lopsided binomials (eg $\binom{n}{n+1})?$ defined?

Published on 28 Mar 2026 - 3:00

541

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Asymptotic behavior of $\sum_{k=1}^n \binom{n}{k} \left(\frac{ck}{n}\right)^k$

Published on 28 Mar 2026 - 4:43

1k

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Using combinatorial reasoning to show $n!=\binom{n}{0}D_n+\binom{n}{1}D_{n-1}+\dots+\binom{n}{n}D_0$

Published on 27 Mar 2026 - 10:10

87k

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Probability of 5 cards drawn from shuffled deck

Published on 25 Mar 2026 - 12:55

5.5k

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Binomial theorem $(a+b)^n=\sum \limits_{k=0}^{n}\binom{n}{k}a^{n-k}b^{k}$

Published on 02 Apr 2026 - 12:59

223

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Integer valued polynomials in two variables

Published on 26 Feb 2026 - 18:10

215

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How to algebraically prove $\binom{n+m}{2} = nm + \binom{n}{2} + \binom{m}{2}$?

Published on 13 Mar 2014 - 20:18

304

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Sum of Binomials times Logarithms

Published on 14 Mar 2014 - 9:19

2.5k

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Binomial Distribution for defects

Published on 14 Mar 2014 - 16:39

223

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Concrete Mathematics, Newton Series and Inversion

Published on 14 Mar 2014 - 18:11

2.3k

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Binomials for getting probability of standard deviation

Published on 14 Mar 2014 - 18:47

827

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Gambler's ruin, probability of loss, infinite turns

Published on 14 Mar 2014 - 19:11

List Question

Combinatorial proof for $2^n=1+\sum_{k=0}^{n-1}2^k$

Estimation for sum over binomial coefficients

Finding an algebraic proof for $r{n \choose r} = n{n-1 \choose r-1}$

How are lopsided binomials (eg $\binom{n}{n+1})?$ defined?

Asymptotic behavior of $\sum_{k=1}^n \binom{n}{k} \left(\frac{ck}{n}\right)^k$

Using combinatorial reasoning to show $n!=\binom{n}{0}D_n+\binom{n}{1}D_{n-1}+\dots+\binom{n}{n}D_0$

Probability of 5 cards drawn from shuffled deck

Binomial theorem $(a+b)^n=\sum \limits_{k=0}^{n}\binom{n}{k}a^{n-k}b^{k}$

Integer valued polynomials in two variables

How to algebraically prove $\binom{n+m}{2} = nm + \binom{n}{2} + \binom{m}{2}$?

Sum of Binomials times Logarithms

Binomial Distribution for defects

Concrete Mathematics, Newton Series and Inversion

Binomials for getting probability of standard deviation

Gambler's ruin, probability of loss, infinite turns

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