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Probability of forming a triangle given sides to choose from

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#probability #combinatorics
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Prove: A litigant can lose by a vote of 8 to 1 in each of 9 issues, and yet have a unanimous decision in his favour.

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#combinatorics
1.5k
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Pairs of non-empty disjoint sets

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#combinatorics #discrete-mathematics #elementary-set-theory #binomial-theorem
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In how many ways can 20 identical chocolates be distributed among 8 students

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#combinatorics
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Tetrahedrons in a cube

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#combinatorics
729
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Shapley value is efficient

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#combinatorics #summation #game-theory #economics #combinatorial-game-theory
79
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Finding the number of nonnegative integer solutions of $z_1 + z_2 + z_3 + z_4 = 10$ satisfying given restrictions

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#combinatorics #discrete-mathematics
461
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Use of principle of inclusion and exclusion in counting

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#combinatorics #inclusion-exclusion
305
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Paths on a grid

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#combinatorics
683
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Linear independence of indicator functions

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#linear-algebra #abstract-algebra #combinatorics #inclusion-exclusion
1k
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Sock Drawer removal probability

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#combinatorics #pigeonhole-principle
361
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Expected value of unordered triple

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#probability #combinatorics #discrete-mathematics
3k
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Arrangement of red and white balls with no adjacent red balls.

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#combinatorics #combinations #inclusion-exclusion
76
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A Combinatorics Problem Involving Some Badminton Players

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#combinatorics #graph-theory
748
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Alice and Bob playing on a circle

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#combinatorics #game-theory #combinatorial-game-theory

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