List questions from combinatorial-proofs

Published on 29 Apr 2026 - 12:15

639

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Prove combination arguments $c(c(n,2),2) = 3c(n,3)+3c(n,4)$

Published on 07 May 2026 - 20:10

299

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A Combinatorial Geometry Problem With A Solution Using Extremal Principle

Published on 05 May 2026 - 14:13

121

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What is the least position a club in EPL can finish with 30 wins?

Published on 10 May 2026 - 8:44

1k

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Find a combinatorial proof for $\binom{n+1}{k} = \binom{n}{k} + \binom{n-1}{k-1} + ... + \binom{n-k}{0}$

Published on 03 May 2026 - 9:01

625

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Use combinatorial arguments to prove the following binomial identities

Published on 29 Apr 2026 - 12:41

398

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money changing problem

Published on 30 Apr 2026 - 14:30

69

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$\forall n\in\mathbb N,x>-1,(1+x)^n\ge1+nx$ Using 2nd Derivative

Published on 29 Apr 2026 - 12:41

1.1k

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Combinatorial proof of $\sum\limits_{i=0}^{r} ({m \choose i}) = {{m + r}\choose m}$

Published on 10 May 2026 - 8:52

195

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Intersection of $n$ circles and $m$ lines

Published on 29 Apr 2026 - 12:41

1.1k

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Tower Of Hanoi (4 Pegs)

Published on 07 May 2026 - 19:47

85

Views

How many ways can a number $k$ number be written as a sum of $1$s and $2$s?

Published on 10 May 2026 - 12:35

527

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How can I prove that $\frac{1}{\sqrt{1-4x}}=\sum_{n=0}^{\infty} \binom {2n} {n} x^n$

Published on 10 May 2026 - 12:34

178

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A sum of sum involving binomial coefficent.(my conjecture)

Published on 23 Apr 2026 - 22:03

1.4k

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For $f_n^2 - f_{n-2}^2 = f_{2n-1}$

Published on 10 May 2026 - 12:35

List Question

Proof of (complicated?) summation equality

Prove combination arguments $c(c(n,2),2) = 3c(n,3)+3c(n,4)$

A Combinatorial Geometry Problem With A Solution Using Extremal Principle

What is the least position a club in EPL can finish with 30 wins?

Find a combinatorial proof for $\binom{n+1}{k} = \binom{n}{k} + \binom{n-1}{k-1} + ... + \binom{n-k}{0}$

Use combinatorial arguments to prove the following binomial identities

money changing problem

$\forall n\in\mathbb N,x>-1,(1+x)^n\ge1+nx$ Using 2nd Derivative

Combinatorial proof of $\sum\limits_{i=0}^{r} ({m \choose i}) = {{m + r}\choose m}$

Intersection of $n$ circles and $m$ lines

Tower Of Hanoi (4 Pegs)

How many ways can a number $k$ number be written as a sum of $1$s and $2$s?

How can I prove that $\frac{1}{\sqrt{1-4x}}=\sum_{n=0}^{\infty} \binom {2n} {n} x^n$

A sum of sum involving binomial coefficent.(my conjecture)

For $f_n^2 - f_{n-2}^2 = f_{2n-1}$

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