List questions from binomial-theorem

Published on 19 Feb 2015 - 23:21

297

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If $n\ge2$, Prove $\binom{2n}{3}$ is even.

Published on 21 Feb 2015 - 0:28

83

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Using Binomial Theorem for proofs.

Published on 24 Feb 2015 - 19:45

459

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Multinomial theorem: Number of elements where all coefficients have even powers..

Published on 26 Mar 2026 - 9:40

139

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Binomial Theorem and Summation

Published on 04 Mar 2015 - 9:10

305

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Simplifying $\binom{n}{k}$ / $\binom{n}{k-1}$

Published on 06 Mar 2015 - 2:34

481

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Binomial theorem for vectors

Published on 09 Mar 2015 - 6:55

1.1k

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Find the sum of coefficient of all the integral power of $x$ in the expansion of $\big(1 + 2\sqrt x\big)^{40}$?

Published on 09 Mar 2015 - 19:20

63

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An alternating sum with binomial coefficients is not a prime number

Published on 10 Mar 2015 - 1:31

119

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Need an explanation for binomial theorem question

Published on 12 Mar 2015 - 2:55

57

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Power series, part of proof explanation.

Published on 12 Mar 2015 - 7:46

489

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Binomial Coefficients

Published on 13 Mar 2015 - 6:25

2.7k

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What is the story behind ${n+1 \choose k} = {n \choose k} + {n \choose k-1}$?

Published on 15 Mar 2015 - 10:23

1.4k

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Binomal theorem show that $\binom{n}{0}+\binom{n}{2}+\binom{n}{4}+\dots=\binom{n}{1}+\binom{n}{3}+\binom{n}{5}+\dots=2^{n-1}$

Published on 16 Mar 2015 - 10:00

321

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Is there limitation when applying binomial theorem？

Published on 17 Mar 2015 - 14:15

List Question

How to find closed form of a binomial series.

If $n\ge2$, Prove $\binom{2n}{3}$ is even.

Using Binomial Theorem for proofs.

Multinomial theorem: Number of elements where all coefficients have even powers..

Binomial Theorem and Summation

Simplifying $\binom{n}{k}$ / $\binom{n}{k-1}$

Binomial theorem for vectors

Find the sum of coefficient of all the integral power of $x$ in the expansion of $\big(1 + 2\sqrt x\big)^{40}$?

An alternating sum with binomial coefficients is not a prime number

Need an explanation for binomial theorem question

Power series, part of proof explanation.

Binomial Coefficients

What is the story behind ${n+1 \choose k} = {n \choose k} + {n \choose k-1}$?

Binomal theorem show that $\binom{n}{0}+\binom{n}{2}+\binom{n}{4}+\dots=\binom{n}{1}+\binom{n}{3}+\binom{n}{5}+\dots=2^{n-1}$

Is there limitation when applying binomial theorem？

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