List questions from combinatorial-proofs

Published on 13 Jun 2020 - 14:49

118

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How many partitions of $n$ different objects into equinumerous parts are there?

Published on 25 Mar 2026 - 12:34

367

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Proving a combinatoric statement with a committee forming argument

Published on 15 Jun 2020 - 17:53

50

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Trying to track down Sperner's lemma with signed counting of triangles

Published on 26 Mar 2026 - 4:32

50

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Giving an proof on a combinatorial statement

Published on 16 Jun 2020 - 0:39

121

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Proving $r \binom{n}{r}=n\binom{n-1}{r-1}$ combinatorially. (Advice on combinatorial proofs in general?)

Published on 16 Jun 2020 - 8:59

100

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How to choose some different subsets so that their pairwise intersection size is at least 3?

Published on 18 Jun 2020 - 10:25

53

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A combinatorial problem of choosing from vectors of length at least 1

Published on 18 Jun 2020 - 14:07

62

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Counting the number of lines

Published on 18 Jun 2020 - 15:39

119

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Sum of number of partitons of $k$ into distinct parts as $k$ ranges from $1$ to $n$ is less than $n$th power of $2$.

Published on 19 Jun 2020 - 5:27

85

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In how many ways can I combine x elements

Published on 20 Jun 2020 - 12:08

215

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Seeking a combinatorial proof of $2n^{n-3} = \sum_{m=1}^{n-1}\binom{n-2}{m-1}m^{m-2}(n-m)^{n-m-2}$

Published on 26 Mar 2026 - 4:36

221

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Derangement of selective letters in a string.

Published on 23 Feb 2026 - 10:16

49

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Missing piece for combinatorial proof

Published on 26 Jun 2020 - 15:19

89

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Combinatoric interpretation of multiplying by (1-x) in generating functions

Published on 01 Jul 2020 - 21:25

List Question

Looking for divisibility by 29 and a general proof( if any)

How many partitions of $n$ different objects into equinumerous parts are there?

Proving a combinatoric statement with a committee forming argument

Trying to track down Sperner's lemma with signed counting of triangles

Giving an proof on a combinatorial statement

Proving $r \binom{n}{r}=n\binom{n-1}{r-1}$ combinatorially. (Advice on combinatorial proofs in general?)

How to choose some different subsets so that their pairwise intersection size is at least 3?

A combinatorial problem of choosing from vectors of length at least 1

Counting the number of lines

Sum of number of partitons of $k$ into distinct parts as $k$ ranges from $1$ to $n$ is less than $n$th power of $2$.

In how many ways can I combine x elements

Seeking a combinatorial proof of $2n^{n-3} = \sum_{m=1}^{n-1}\binom{n-2}{m-1}m^{m-2}(n-m)^{n-m-2}$

Derangement of selective letters in a string.

Missing piece for combinatorial proof

Combinatoric interpretation of multiplying by (1-x) in generating functions

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