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Identify a truth-teller among a group of truth-tellers and (honest) liars.

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#combinatorics #logic #puzzle #combinatorial-game-theory #extremal-combinatorics
149
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Optimizing a winning strategy for a quick tabletop game

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#combinatorics #recreational-mathematics #puzzle #combinatorial-game-theory #extremal-combinatorics
304
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Subsets of a set with common elements between themselves

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#combinatorics #extremal-combinatorics #combinatorial-designs
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Maximum cardinality of a set of subsets

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#combinatorics #discrete-mathematics #order-theory #extremal-combinatorics
275
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Let $ \mathcal{T}= \{A \subset \{1,2,\ldots,9 \} \ ; \ |A|=5 \}$. Find $n_{\min}$...

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#combinatorics #graph-theory #discrete-optimization #extremal-combinatorics
104
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Let $S$ be a subset of $\{1, 2, \dots , 2019\}$ such that no two members of $S$ differ by 1, 2 or 9. What is the upper bound of the size of $S$?

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#combinatorics #extremal-combinatorics
155
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Sum and minimum in $3\times 3$ table

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#combinatorics #extremal-combinatorics
375
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Optimization problem for routes

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#combinatorics #graph-theory #coding-theory #extremal-combinatorics #extremal-graph-theory
268
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Relation between maximum matching of a graph and its complement

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#graph-theory #extremal-combinatorics
106
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Maximum number of triangles given fixed number of edges

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#graph-theory #discrete-optimization #extremal-combinatorics #extremal-graph-theory
153
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$A_1,A_2,...,A_k\subseteq \{1,2,...,11\}$ are such that for any three of them at least two are not comparable by inclusion. What is a maximum of $k$?

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#combinatorics #proof-verification #elementary-set-theory #discrete-optimization #extremal-combinatorics
710
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We have $n$ charged and $n$ uncharged batteries and a radio which needs two charged batteries to work.

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#combinatorics #graph-theory #contest-math #discrete-optimization #extremal-combinatorics
149
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Arrange the numbers in the given rectangular blocks

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#combinatorics #extremal-combinatorics
116
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Small & Balanced family of sets

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#combinatorics #discrete-mathematics #ramsey-theory #extremal-combinatorics
40
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Allocating balls among boxes under specified conditions

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#combinatorics #graph-theory #extremal-combinatorics

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