Question

Number of ways to pick $d$ disjoint $k$-subsets out of $n$ elements

score 261 · Answer 1 · 2016-11-25 22:34:55

261

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Number of ways to pick $d$ disjoint $k$-subsets out of $n$ elements

Published on 25 Nov 2016 - 22:34

score 98 · Answer 2 · 2026-04-10 15:27:17

98

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Closed Form for Multiple Matrix Product

Published on 10 Apr 2026 - 15:27

score 63 · Answer 3 · 2026-04-11 05:37:33

63

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Sums , products, binomialcoefficient Induction

Published on 11 Apr 2026 - 5:37

score 279 · Answer 4 · 2026-04-11 14:39:06

279

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A question regarding picking balls from an urn

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score 76 · Answer 5 · 2026-04-10 02:54:32

76

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How do I prove this complex-looking sum-product equation?

Published on 10 Apr 2026 - 2:54

score 2.2k · Answer 6 · 2016-11-27 10:31:37

2.2k

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Prove $\sum_{k=1}^{n}{n \choose k}{n \choose k-1} = {2n+2 \choose n+1}/2-{2n \choose n}$

Published on 27 Nov 2016 - 10:31

score 1.5k · Answer 7 · 2026-04-07 12:50:09

1.5k

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The total number of non congruent integer sided triangles whose sides belong to the set{10,11,12,⋯,22}

Published on 07 Apr 2026 - 12:50

score 353 · Answer 8 · 2026-03-31 12:21:31

353

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Show that $\lfloor(2+\sqrt{3})^n\rfloor$ is an odd integer whenever n is a nonnegative integer

Published on 31 Mar 2026 - 12:21

score 1.1k · Answer 9 · 2026-03-30 03:39:18

1.1k

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For any prime number $p$ and natural number $i < p$, prove that $p$ divides ${p \choose i}$.

Published on 30 Mar 2026 - 3:39

score 1.2k · Answer 10 · 2016-11-28 07:52:05

1.2k

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Prove that $C(n,0) + C(n+1,1) +\dots+ C(n+r,r) = C(n+r+1,r).$

Published on 28 Nov 2016 - 7:52

score 152 · Answer 11 · 2026-03-29 19:17:24

152

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Proof: $\sum^n_{i = 0} {n\choose i} F_{i+m}$ is Fibonacci number

Published on 29 Mar 2026 - 19:17

score 77 · Answer 12 · 2016-11-28 20:53:11

77

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Prove that the following equation isn't satisfied for any natural number

Published on 28 Nov 2016 - 20:53

score 156 · Answer 13 · 2016-11-29 11:59:59

156

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minimum value of sum of two number for which binomial coefficients is an even integer

Published on 29 Nov 2016 - 11:59

score 253 · Answer 14 · 2026-04-12 19:27:38

253

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Can Pascal's Triangle be expressed as a exponential equation?

Published on 12 Apr 2026 - 19:27

score 121 · Answer 15 · 2016-11-30 05:44:02

121

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General formula for ${n \choose r} + {n-2 \choose r} + {n-4 \choose r} + ... + {n-2k \choose r}$

Published on 30 Nov 2016 - 5:44

List Question

Number of ways to pick $d$ disjoint $k$-subsets out of $n$ elements

Closed Form for Multiple Matrix Product

Sums , products, binomialcoefficient Induction

A question regarding picking balls from an urn

How do I prove this complex-looking sum-product equation?

Prove $\sum_{k=1}^{n}{n \choose k}{n \choose k-1} = {2n+2 \choose n+1}/2-{2n \choose n}$

The total number of non congruent integer sided triangles whose sides belong to the set{10,11,12,⋯,22}

Show that $\lfloor(2+\sqrt{3})^n\rfloor$ is an odd integer whenever n is a nonnegative integer

For any prime number $p$ and natural number $i < p$, prove that $p$ divides ${p \choose i}$.

Prove that $C(n,0) + C(n+1,1) +\dots+ C(n+r,r) = C(n+r+1,r).$

Proof: $\sum^n_{i = 0} {n\choose i} F_{i+m}$ is Fibonacci number

Prove that the following equation isn't satisfied for any natural number

minimum value of sum of two number for which binomial coefficients is an even integer

Can Pascal's Triangle be expressed as a exponential equation?

General formula for ${n \choose r} + {n-2 \choose r} + {n-4 \choose r} + ... + {n-2k \choose r}$

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