List questions from combinatorics

Published on 26 Jan 2018 - 21:10

116

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how many ways can I cut a stick of length n doing m cuts

Published on 26 Jan 2018 - 21:16

1.3k

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Show that $2n\choose n$ is divisible by $2n-1$

Published on 24 Mar 2026 - 22:09

178

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Product of binomial coefficient and fraction is integer

Published on 25 Mar 2026 - 3:00

52

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are the following isomorphic?

Published on 25 Mar 2026 - 15:58

209

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If a set of vertex $X$ is maximal independent, then $X$ is a minimal dominating set

Published on 25 Mar 2026 - 22:05

87

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Proof with using combination proof (no algerbic methods) that $n^2=\sum_{i=1}^n (2i-1)$

Published on 27 Jan 2018 - 10:45

781

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Find coefficient of $x^{20}$

Published on 31 Mar 2026 - 23:47

2.7k

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Number of permutations of $n$ different things, taken $r$ at a time, when $p$ particular things is to be always included in each arrangement

Published on 26 Mar 2026 - 16:00

46

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Question to generating function

Published on 01 Apr 2026 - 0:35

158

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Rewrite binomial sum with trig functions

Published on 25 Mar 2026 - 1:14

3.5k

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Number of positive integral solutions of $a+b+c+d+e=20$ such that $a<b<c<d<e$ and $(a,b,c,d,e)$ is distinct

Published on 22 Mar 2026 - 7:10

107

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Show that at least two numbers that are equal among $a_1,a_2, \cdots, a_{2n}$.

Published on 14 Mar 2026 - 9:30

170

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Valid parentheses of multiple types with given suffix

Published on 20 Mar 2026 - 1:01

53

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Trying to compute a limit for the Turán number

Published on 29 Mar 2026 - 10:16

List Question

A set of integers

how many ways can I cut a stick of length n doing m cuts

Show that $2n\choose n$ is divisible by $2n-1$

Product of binomial coefficient and fraction is integer

are the following isomorphic?

If a set of vertex $X$ is maximal independent, then $X$ is a minimal dominating set

Proof with using combination proof (no algerbic methods) that $n^2=\sum_{i=1}^n (2i-1)$

Find coefficient of $x^{20}$

Number of permutations of $n$ different things, taken $r$ at a time, when $p$ particular things is to be always included in each arrangement

Question to generating function

Rewrite binomial sum with trig functions

Number of positive integral solutions of $a+b+c+d+e=20$ such that $a<b<c<d<e$ and $(a,b,c,d,e)$ is distinct

Show that at least two numbers that are equal among $a_1,a_2, \cdots, a_{2n}$.

Valid parentheses of multiple types with given suffix

Trying to compute a limit for the Turán number

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