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Proof of Motzkin numbers recurrence

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#combinatorics
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Scheduling of examination papers so that no two of the biology, chemistry, and physics papers are consecutive

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#combinatorics #permutations #factorial
62
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solve inductive inequality $a_m>a_{m-1}+0.5 a_{m-1}^2$

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#real-analysis #combinatorics #number-theory #induction
4k
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Ordered Selection vs Unordered Selection

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#probability #combinatorics
140
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Clearing all levels with minimum coins

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#combinatorics #algorithms #computer-science #binary #combinatorial-game-theory
85
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Number of ways of selecting one or more disjoint two-element subsets from a set with $n$ elements

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#combinatorics #combinations
46
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Seven dice rolls $N,X_1,...,X_6$, looking for $E(Z)$ of random variable $Z=\sum_{i=1}^N X_i$

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#probability #combinatorics
907
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Double counting in combinatorial formulae.

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#combinatorics
2.7k
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Expected number of hamiltonian paths in a tournament

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#combinatorics #graph-theory #hamiltonian-path #probabilistic-method
35
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Existence of a set of vectors with restriction on inner products

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#linear-algebra #combinatorics #probability-theory
44
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Combinatorics: $\sigma(i)\ne i,i+1$

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#combinatorics
18.3k
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Find the Power sets of P[P{P(Φ)}]

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#combinatorics #elementary-set-theory
270
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Identical and different object distribution among children

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#combinatorics #discrete-mathematics #permutations #combinations
155
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Outcomes of Two Experiments

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#combinatorics #proof-verification
964
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Intuitive method of finding probability of getting an onto function from all possible functions from a set to another.

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#probability #combinatorics #functions

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