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Clarification about this proof about Dilworth's Theorem

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#combinatorics #extremal-combinatorics
109
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I need to find the combinatory formula for this set.

Published on
#combinatorics #binomial-coefficients #inclusion-exclusion
364
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Jury Pick Problem Combinatorics

Published on
#probability #combinatorics
513
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Number of Paths to get from One point to Another

Published on
#combinatorics #permutations #combinations
236
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Sum of coefficients of high degree terms in multivariate polynomial expansion

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#combinatorics #polynomials #permutations #combinations
51
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Six closed disc without a common point

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#combinatorics
73
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A is the set of all triangles whose perimeter is 2013. B is the set of all triangles whose perimeter is 2016. Which set has more triangles.

Published on
#combinatorics #combinatorial-geometry
70
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Counting, arranging 8 ppl

Published on
#combinatorics
62
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Total Permutations: From Letters ABCDEFGH so that E and D are not next to each other.

Published on
#combinatorics #discrete-mathematics #permutations
50
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Optimal number of elements in a subset

Published on
#combinatorics #proof-verification #pigeonhole-principle
71
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Can a set $A$ have exactly $2000$ subsets that are subsets of neither $B$, nor $C$?

Published on
#combinatorics
6.9k
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Optimal strategy for cutting a sausage?

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#combinatorics #logic #recreational-mathematics #fair-division
70
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If I did not know $|\Sigma_A|=n!$ in advance, how would I approach this problem to determine $|\Sigma_A|$?

Published on
#combinatorics
212
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Given G groups, and X samples per group. Probability of selecting N groups?

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#combinatorics #binomial-coefficients
205
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Number of ways to roll $S$ with $n$ dice.

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#combinatorics #combinations #generating-functions #inclusion-exclusion

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