List questions from combinatorial-proofs

Published on 27 Sep 2014 - 21:41

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Proving overlap when distributing certain number of balloons to forty children.

Published on 27 Sep 2014 - 23:26

456

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combinatorial proof of summation

Published on 29 Sep 2014 - 11:23

705

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Combinatorial Proof: How many length-n lists can we form using the elements in {1,2,3} [PROOF]

Published on 30 Sep 2014 - 0:17

247

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Proof with combinatorial argument for $\binom{n}{k+1} = \binom{n-1}k+ \binom{n-2}k +...+ \binom{k}k$

Published on 05 Oct 2014 - 15:02

1k

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Verify the following combinatorial identity: $\sum_{k=0}^{r} \binom{m}{k}\binom{n}{r-k} = \binom{m+n}{r}$

Published on 08 Oct 2014 - 2:56

1.3k

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Combinatorial proof of an identity of Stirling number of first kind

Published on 14 Oct 2014 - 9:37

3.6k

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Combinatorial proof of $ k{n \choose k} = n {n-1\choose k-1} $

Published on 21 Oct 2014 - 23:11

342

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some combinatorial proofs

Published on 25 Oct 2014 - 18:16

328

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proving an invloved combinatorial identity

Published on 28 Oct 2014 - 9:59

1k

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Give a combinatorial argument

Published on 10 Nov 2014 - 21:20

42

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Special partitions for cubic 3-edge connected graphs

Published on 19 Nov 2014 - 18:05

179

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Combinatorial proof for $\sum_{i=r}^{n}(2i-r)\binom{i-1}{r-1}^2=r\binom{n}{r}^2$

Published on 21 Nov 2014 - 15:49

198

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Combinatorial Argument with Natural Numbers

Published on 21 Nov 2014 - 19:27

70

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Modulo congruence

Published on 23 Nov 2014 - 17:38

List Question

Give a combinatorial proof to show the following for all integers $n \geq 2$.

Proving overlap when distributing certain number of balloons to forty children.

combinatorial proof of summation

Combinatorial Proof: How many length-n lists can we form using the elements in {1,2,3} [PROOF]

Proof with combinatorial argument for $\binom{n}{k+1} = \binom{n-1}k+ \binom{n-2}k +...+ \binom{k}k$

Verify the following combinatorial identity: $\sum_{k=0}^{r} \binom{m}{k}\binom{n}{r-k} = \binom{m+n}{r}$

Combinatorial proof of an identity of Stirling number of first kind

Combinatorial proof of $ k{n \choose k} = n {n-1\choose k-1} $

some combinatorial proofs

proving an invloved combinatorial identity

Give a combinatorial argument

Special partitions for cubic 3-edge connected graphs

Combinatorial proof for $\sum_{i=r}^{n}(2i-r)\binom{i-1}{r-1}^2=r\binom{n}{r}^2$

Combinatorial Argument with Natural Numbers

Modulo congruence

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