List questions from binomial-theorem

Published on 08 Jul 2017 - 10:29

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Greatest term in the expansion $(2+3x)^9$

Published on 08 Jul 2017 - 10:41

46

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bimomial theorem find value

Published on 10 Jul 2017 - 20:06

93

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Can anybody solve the following using binomial theorem?

Published on 14 Jul 2017 - 7:07

73

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Checking divisibility of $C^{20}_7-C^{20}_8 +C^{20}_9 -C^{20}_{10}+\dots-C^{20}_{20}$

Published on 14 Jul 2017 - 9:10

61

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How to deduce the following equation from the other?

Published on 18 Jul 2017 - 4:56

1.2k

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To find number of ways of solving $x + y + z = 12$, with $0 \leq x, y, z \leq 6$, using generating functions

Published on 21 Jul 2017 - 19:04

171

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Testing $q$-binomial theorem at $z=1/a$

Published on 25 Mar 2026 - 16:07

29

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Probability, possibly binomial?

Published on 27 Mar 2026 - 0:01

162

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Suming combinations in binomial theorem

Published on 24 Jul 2017 - 2:59

2.7k

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The coefficient of $x^{6}$ in { $(1+x)^{6}$ + $(1+x)^{7}$ + ... + $(1+x)^{15}$ } is?

Published on 29 Jul 2017 - 13:21

46

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How to write $\left(\frac{A+Bs}{C+Ds}\right)^N$ as $\sum_{n=-\infty}^{\infty} s^n P_n$?

Published on 31 Jul 2017 - 12:17

427

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Proving this infinite sum of a product of three binomials: $\sum\limits_{s}\binom{n+s}{k+l}\binom ks\binom ls=\binom nk\binom nl$

Published on 03 Aug 2017 - 16:16

285

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A Curious binomial identity

Published on 29 Mar 2026 - 13:59

185

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Find $\lvert m\rvert$ given $\sqrt[3]{m+9}=3+\sqrt[3]{m-9}$

Published on 08 Aug 2017 - 17:26

List Question

Equating powers in a series expansion

Greatest term in the expansion $(2+3x)^9$

bimomial theorem find value

Can anybody solve the following using binomial theorem?

Checking divisibility of $C^{20}_7-C^{20}_8 +C^{20}_9 -C^{20}_{10}+\dots-C^{20}_{20}$

How to deduce the following equation from the other?

To find number of ways of solving $x + y + z = 12$, with $0 \leq x, y, z \leq 6$, using generating functions

Testing $q$-binomial theorem at $z=1/a$

Probability, possibly binomial?

Suming combinations in binomial theorem

The coefficient of $x^{6}$ in { $(1+x)^{6}$ + $(1+x)^{7}$ + ... + $(1+x)^{15}$ } is?

How to write $\left(\frac{A+Bs}{C+Ds}\right)^N$ as $\sum_{n=-\infty}^{\infty} s^n P_n$?

Proving this infinite sum of a product of three binomials: $\sum\limits_{s}\binom{n+s}{k+l}\binom ks\binom ls=\binom nk\binom nl$

A Curious binomial identity

Find $\lvert m\rvert$ given $\sqrt[3]{m+9}=3+\sqrt[3]{m-9}$

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