Question

Combinatorial argument for solution of recursion behaving similarly as Pascals triangle?

score 154 · Answer 1 · 2026-04-12 06:13:50

154

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Combinatorial argument for solution of recursion behaving similarly as Pascals triangle?

Published on 12 Apr 2026 - 6:13

score 473 · Answer 2 · 2026-04-18 09:57:56

473

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Solving combinatorial problems with symbolic method and generating functions

Published on 18 Apr 2026 - 9:57

score 403 · Answer 3 · 2026-04-15 11:18:56

403

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Partial Matching and Augmenting Paths of Length 1

Published on 15 Apr 2026 - 11:18

score 566 · Answer 4 · 2026-04-15 22:44:05

566

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Combinatorial proof of $\binom{nk}{2}=k\binom{n}{2}+n^2\binom{k}{2}$

Published on 15 Apr 2026 - 22:44

score 406 · Answer 5 · 2026-05-10 18:30:33

406

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Prove: $[k+y-1-v]{v \choose k}\geq \sum_{j=0}^a(-1)^j \left( \sum_{i=0}^k{v-i \choose k-i}r_i(j)\right)+\epsilon(a,k,p)$

Published on 10 May 2026 - 18:30

score 40 · Answer 6 · 2026-04-14 16:10:19

40

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Proof by induction: summation inductive step

Published on 14 Apr 2026 - 16:10

score 248 · Answer 7 · 2026-04-16 12:23:05

248

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Combinatorial proof of $\sum_{j=0}^{k} \binom{n}{j} = \sum_{j=0}^k \binom{n-1-j}{k-j}2^j$

Published on 16 Apr 2026 - 12:23

score 754 · Answer 8 · 2026-04-11 20:27:53

754

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Prove your identity using a block-walking argument.

Published on 11 Apr 2026 - 20:27

score 313 · Answer 9 · 2026-04-16 12:23:05

313

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Combinatorial proof $\sum_i^{\lfloor{n/2}\rfloor} (-1)^i {n-i\choose i} 2^{n-2i} = n+1$

Published on 16 Apr 2026 - 12:23

score 151 · Answer 10 · 2026-04-15 17:19:58

151

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Combinatorics Proof of $\sum_{i=0}^n \sum_{j=0}^{i-1} j = {n+1 \choose 3}$

Published on 15 Apr 2026 - 17:19

score 1.1k · Answer 11 · 2026-04-10 02:05:34

1.1k

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Combinatorial proof of fibonacci

Published on 10 Apr 2026 - 2:05

score 555 · Answer 12 · 2026-04-16 08:45:37

555

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Combinatorial proof for $\sum_{k=0}^p (-1)^k {n \choose k} = (-1)^p {n-1 \choose p}$

Published on 16 Apr 2026 - 8:45

score 1.1k · Answer 13 · 2026-04-30 07:21:27

1.1k

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Partitions of a set with n elements (proof)

Published on 30 Apr 2026 - 7:21

score 1.5k · Answer 14 · 2026-04-08 22:08:42

1.5k

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How do I prove this combinatorial identity

Published on 08 Apr 2026 - 22:08

score 290 · Answer 15 · 2026-04-12 13:27:12

290

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Bijection between "circularly nonconsecutive" permutations and permutations with one fixed point

Published on 12 Apr 2026 - 13:27

List Question

Combinatorial argument for solution of recursion behaving similarly as Pascals triangle?

Solving combinatorial problems with symbolic method and generating functions

Partial Matching and Augmenting Paths of Length 1

Combinatorial proof of $\binom{nk}{2}=k\binom{n}{2}+n^2\binom{k}{2}$

Prove: $[k+y-1-v]{v \choose k}\geq \sum_{j=0}^a(-1)^j \left( \sum_{i=0}^k{v-i \choose k-i}r_i(j)\right)+\epsilon(a,k,p)$

Proof by induction: summation inductive step

Combinatorial proof of $\sum_{j=0}^{k} \binom{n}{j} = \sum_{j=0}^k \binom{n-1-j}{k-j}2^j$

Prove your identity using a block-walking argument.

Combinatorial proof $\sum_i^{\lfloor{n/2}\rfloor} (-1)^i {n-i\choose i} 2^{n-2i} = n+1$

Combinatorics Proof of $\sum_{i=0}^n \sum_{j=0}^{i-1} j = {n+1 \choose 3}$

Combinatorial proof of fibonacci

Combinatorial proof for $\sum_{k=0}^p (-1)^k {n \choose k} = (-1)^p {n-1 \choose p}$

Partitions of a set with n elements (proof)

How do I prove this combinatorial identity

Bijection between "circularly nonconsecutive" permutations and permutations with one fixed point

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